diff --git a/docs/changelog.rst b/docs/changelog.rst
index 5bb739b7a..ba8e73c15 100644
--- a/docs/changelog.rst
+++ b/docs/changelog.rst
@@ -10,6 +10,9 @@ To update |kitty|, :doc:`follow the instructions <binary>`.
 - Allow choosing OpenType features for individual fonts via the
   :opt:`font_features` option.
 
+- Add a :opt:`resize_in_steps` option that can be used to resize the OS window
+  in steps as large as character cells (:pull:`2131`)
+
 
 0.15.1 [2019-12-21]
 --------------------
diff --git a/glfw/cocoa_window.m b/glfw/cocoa_window.m
index 7ada57e5e..e431995b1 100644
--- a/glfw/cocoa_window.m
+++ b/glfw/cocoa_window.m
@@ -1578,10 +1578,18 @@ void _glfwPlatformSetWindowSizeLimits(_GLFWwindow* window,
 
 void _glfwPlatformSetWindowAspectRatio(_GLFWwindow* window, int numer, int denom)
 {
-    if (numer == GLFW_DONT_CARE || denom == GLFW_DONT_CARE)
-        [window->ns.object setResizeIncrements:NSMakeSize(1.0, 1.0)];
-    else
+    if (numer != GLFW_DONT_CARE && denom != GLFW_DONT_CARE)
         [window->ns.object setContentAspectRatio:NSMakeSize(numer, denom)];
+    else
+        [window->ns.object setResizeIncrements:NSMakeSize(1.0, 1.0)];
+}
+
+void _glfwPlatformSetWindowSizeIncrements(_GLFWwindow* window, int widthincr, int heightincr)
+{
+    if (widthincr != GLFW_DONT_CARE && heightincr != GLFW_DONT_CARE)
+        [window->ns.object setResizeIncrements:NSMakeSize(widthincr, heightincr)];
+    else
+        [window->ns.object setResizeIncrements:NSMakeSize(1.0, 1.0)];
 }
 
 void _glfwPlatformGetFramebufferSize(_GLFWwindow* window, int* width, int* height)
diff --git a/glfw/glfw3.h b/glfw/glfw3.h
index fccf38ebc..acc9f6844 100644
--- a/glfw/glfw3.h
+++ b/glfw/glfw3.h
@@ -3036,6 +3036,46 @@ GLFWAPI void glfwSetWindowSizeLimits(GLFWwindow* window, int minwidth, int minhe
  *
  *  @ingroup window
  */
+
+GLFWAPI void glfwSetWindowSizeIncrements(GLFWwindow* window, int widthincr, int heightincr);
+
+/*! @brief Sets the size increments of the specified window.
+ *
+ *  This function sets the size increments of the content area of the specified
+ *  window.  If the window is full screen, the size limits only take effect
+ *  once it is made windowed.  If the window is not resizable, this function
+ *  does nothing.
+ *
+ *  The size increments are applied immediately to a windowed mode window and
+ *  may cause it to be resized.
+ *
+ *  The dimension increments must be greater than zero.
+ *
+ *  @param[in] window The window to set limits for.
+ *  @param[in] widthincr The width increments, in screen coordinates, of the
+ *  content area, or `GLFW_DONT_CARE`.
+ *  @param[in] heightincr The height increments, in screen coordinates, of the
+ *  content area, or `GLFW_DONT_CARE`.
+ *
+ *  @errors Possible errors include @ref GLFW_NOT_INITIALIZED, @ref
+ *  GLFW_INVALID_VALUE and @ref GLFW_PLATFORM_ERROR.
+ *
+ *  @remark If you set size limits and an aspect ratio that conflict, the
+ *  results are undefined.
+ *
+ *  @remark @wayland The size limits will not be applied until the window is
+ *  actually resized, either by the user or by the compositor.
+ *
+ *  @thread_safety This function must only be called from the main thread.
+ *
+ *  @sa @ref window_sizelimits
+ *  @sa @ref glfwSetWindowSizeLimits
+ *
+ *  @since Added in version 3.2.
+ *
+ *  @ingroup window
+ */
+
 GLFWAPI void glfwSetWindowAspectRatio(GLFWwindow* window, int numer, int denom);
 
 /*! @brief Sets the size of the content area of the specified window.
diff --git a/glfw/internal.h b/glfw/internal.h
index 5e6f00c1f..17a7b5446 100644
--- a/glfw/internal.h
+++ b/glfw/internal.h
@@ -418,6 +418,7 @@ struct _GLFWwindow
     int                 minwidth, minheight;
     int                 maxwidth, maxheight;
     int                 numer, denom;
+    int                 widthincr, heightincr;
 
     bool                stickyKeys;
     bool                stickyMouseButtons;
@@ -673,6 +674,7 @@ void _glfwPlatformSetWindowSizeLimits(_GLFWwindow* window,
                                       int minwidth, int minheight,
                                       int maxwidth, int maxheight);
 void _glfwPlatformSetWindowAspectRatio(_GLFWwindow* window, int numer, int denom);
+void _glfwPlatformSetWindowSizeIncrements(_GLFWwindow* window, int widthincr, int heightincr);
 void _glfwPlatformGetFramebufferSize(_GLFWwindow* window, int* width, int* height);
 void _glfwInputLiveResize(_GLFWwindow* window, bool started);
 void _glfwPlatformGetWindowFrameSize(_GLFWwindow* window,
diff --git a/glfw/null_window.c b/glfw/null_window.c
index c7a759ade..ceed84cdc 100644
--- a/glfw/null_window.c
+++ b/glfw/null_window.c
@@ -128,6 +128,10 @@ void _glfwPlatformSetWindowAspectRatio(_GLFWwindow* window UNUSED, int n UNUSED,
 {
 }
 
+void _glfwPlatformSetWindowSizeIncrements(_GLFWwindow* window UNUSED, int widthincr UNUSED, int heightincr UNUSED)
+{
+}
+
 void _glfwPlatformGetFramebufferSize(_GLFWwindow* window, int* width, int* height)
 {
     if (width)
diff --git a/glfw/window.c b/glfw/window.c
index c693a0a02..20d9926a2 100644
--- a/glfw/window.c
+++ b/glfw/window.c
@@ -254,6 +254,8 @@ GLFWAPI GLFWwindow* glfwCreateWindow(int width, int height,
     window->maxheight   = GLFW_DONT_CARE;
     window->numer       = GLFW_DONT_CARE;
     window->denom       = GLFW_DONT_CARE;
+    window->widthincr   = GLFW_DONT_CARE;
+    window->heightincr  = GLFW_DONT_CARE;
 
     // Open the actual window and create its context
     if (!_glfwPlatformCreateWindow(window, &wndconfig, &ctxconfig, &fbconfig))
@@ -690,6 +692,20 @@ GLFWAPI void glfwSetWindowAspectRatio(GLFWwindow* handle, int numer, int denom)
     _glfwPlatformSetWindowAspectRatio(window, numer, denom);
 }
 
+GLFWAPI void glfwSetWindowSizeIncrements(GLFWwindow* handle, int widthincr, int heightincr)
+{
+    _GLFWwindow* window = (_GLFWwindow*) handle;
+    assert(window != NULL);
+    assert(widthincr >= 0);
+    assert(heightincr >= 0);
+
+    _GLFW_REQUIRE_INIT();
+
+    window->widthincr  = widthincr;
+    window->heightincr = heightincr;
+    _glfwPlatformSetWindowSizeIncrements(window, window->widthincr, window->heightincr);
+}
+
 GLFWAPI void glfwGetFramebufferSize(GLFWwindow* handle, int* width, int* height)
 {
     _GLFWwindow* window = (_GLFWwindow*) handle;
diff --git a/glfw/wl_window.c b/glfw/wl_window.c
index c9e94e799..d891da485 100644
--- a/glfw/wl_window.c
+++ b/glfw/wl_window.c
@@ -1028,6 +1028,13 @@ void _glfwPlatformSetWindowAspectRatio(_GLFWwindow* window UNUSED,
     // The actual limits are checked in the xdg_toplevel::configure handler.
 }
 
+void _glfwPlatformSetWindowSizeIncrements(_GLFWwindow* window UNUSED,
+                                          int widthincr UNUSED, int heightincr UNUSED)
+{
+    // TODO: find out how to trigger a resize.
+    // The actual limits are checked in the xdg_toplevel::configure handler.
+}
+
 void _glfwPlatformGetFramebufferSize(_GLFWwindow* window,
                                      int* width, int* height)
 {
diff --git a/glfw/x11_window.c b/glfw/x11_window.c
index f7ca9ad3f..fa65e0a1b 100644
--- a/glfw/x11_window.c
+++ b/glfw/x11_window.c
@@ -255,6 +255,14 @@ static void updateNormalHints(_GLFWwindow* window, int width, int height)
                 hints->min_aspect.x = hints->max_aspect.x = window->numer;
                 hints->min_aspect.y = hints->max_aspect.y = window->denom;
             }
+
+            if (window->widthincr != GLFW_DONT_CARE &&
+                window->heightincr != GLFW_DONT_CARE)
+            {
+                hints->flags |= PResizeInc;
+                hints->width_inc = window->widthincr;
+                hints->height_inc = window->heightincr;
+            }
         }
         else
         {
@@ -2028,6 +2036,14 @@ void _glfwPlatformSetWindowAspectRatio(_GLFWwindow* window, int numer UNUSED, in
     XFlush(_glfw.x11.display);
 }
 
+void _glfwPlatformSetWindowSizeIncrements(_GLFWwindow* window, int widthincr UNUSED, int heightincr UNUSED)
+{
+    int width, height;
+    _glfwPlatformGetWindowSize(window, &width, &height);
+    updateNormalHints(window, width, height);
+    XFlush(_glfw.x11.display);
+}
+
 void _glfwPlatformGetFramebufferSize(_GLFWwindow* window, int* width, int* height)
 {
     _glfwPlatformGetWindowSize(window, width, height);
diff --git a/kitty/config_data.py b/kitty/config_data.py
index 45ef161a8..ed336cb00 100644
--- a/kitty/config_data.py
+++ b/kitty/config_data.py
@@ -688,6 +688,13 @@ A value of :code:`blank` means draw a blank window.
 A value of :code:`size` means show the window size in cells.
 '''))
 
+o('resize_in_steps', False, long_text=_('''
+Resize the OS window in steps as large as the cells, instead of with the usual pixel accuracy.
+Combined with an :opt:`initial_window_width` and :opt:`initial_window_height` in number of cells,
+this option can be used to keep the margins as small as possible when resizing the OS window.
+Note that this does not currently work on Wayland.
+'''))
+
 # }}}
 
 g('tabbar')   # {{{
diff --git a/kitty/glfw-wrapper.c b/kitty/glfw-wrapper.c
index 521df07c6..e43660099 100644
--- a/kitty/glfw-wrapper.c
+++ b/kitty/glfw-wrapper.c
@@ -140,6 +140,9 @@ load_glfw(const char* path) {
     *(void **) (&glfwSetWindowAspectRatio_impl) = dlsym(handle, "glfwSetWindowAspectRatio");
     if (glfwSetWindowAspectRatio_impl == NULL) fail("Failed to load glfw function glfwSetWindowAspectRatio with error: %s", dlerror());
 
+    *(void **) (&glfwSetWindowSizeIncrements_impl) = dlsym(handle, "glfwSetWindowSizeIncrements");
+    if (glfwSetWindowSizeIncrements_impl == NULL) fail("Failed to load glfw function glfwSetWindowSizeIncrements with error: %s", dlerror());
+
     *(void **) (&glfwSetWindowSize_impl) = dlsym(handle, "glfwSetWindowSize");
     if (glfwSetWindowSize_impl == NULL) fail("Failed to load glfw function glfwSetWindowSize with error: %s", dlerror());
 
diff --git a/kitty/glfw-wrapper.h b/kitty/glfw-wrapper.h
index 11c83b173..359ae3fc9 100644
--- a/kitty/glfw-wrapper.h
+++ b/kitty/glfw-wrapper.h
@@ -1751,6 +1751,10 @@ typedef void (*glfwSetWindowAspectRatio_func)(GLFWwindow*, int, int);
 glfwSetWindowAspectRatio_func glfwSetWindowAspectRatio_impl;
 #define glfwSetWindowAspectRatio glfwSetWindowAspectRatio_impl
 
+typedef void (*glfwSetWindowSizeIncrements_func)(GLFWwindow*, int, int);
+glfwSetWindowSizeIncrements_func glfwSetWindowSizeIncrements_impl;
+#define glfwSetWindowSizeIncrements glfwSetWindowSizeIncrements_impl
+
 typedef void (*glfwSetWindowSize_func)(GLFWwindow*, int, int);
 glfwSetWindowSize_func glfwSetWindowSize_impl;
 #define glfwSetWindowSize glfwSetWindowSize_impl
diff --git a/kitty/glfw.c b/kitty/glfw.c
index 605a10f3e..4953f9e21 100644
--- a/kitty/glfw.c
+++ b/kitty/glfw.c
@@ -624,6 +624,7 @@ create_os_window(PyObject UNUSED *self, PyObject *args) {
     w->fonts_data = fonts_data;
     w->shown_once = true;
     w->last_focused_counter = ++focus_counter;
+    if (OPT(resize_in_steps)) os_window_update_size_increments(w);
 #ifdef __APPLE__
     if (OPT(macos_option_as_alt)) glfwSetCocoaTextInputFilter(glfw_window, filter_option);
     glfwSetCocoaToggleFullscreenIntercept(glfw_window, intercept_cocoa_fullscreen);
@@ -672,6 +673,12 @@ create_os_window(PyObject UNUSED *self, PyObject *args) {
     return PyLong_FromUnsignedLongLong(w->id);
 }
 
+void
+os_window_update_size_increments(OSWindow *window) {
+    if (window->handle && window->fonts_data) glfwSetWindowSizeIncrements(
+            window->handle, window->fonts_data->cell_width, window->fonts_data->cell_height);
+}
+
 #ifdef __APPLE__
 static inline bool
 window_in_same_cocoa_workspace(void *w, size_t *source_workspaces, size_t source_workspace_count) {
diff --git a/kitty/state.c b/kitty/state.c
index e100b0313..d71392c73 100644
--- a/kitty/state.c
+++ b/kitty/state.c
@@ -522,6 +522,7 @@ PYWRAP1(set_options) {
     S(tab_bar_min_tabs, PyLong_AsUnsignedLong);
     S(disable_ligatures, PyLong_AsLong);
     S(resize_draw_strategy, PyLong_AsLong);
+    S(resize_in_steps, PyObject_IsTrue);
     S(pointer_shape_when_grabbed, pointer_shape);
 
     GA(tab_bar_style);
@@ -781,6 +782,7 @@ PYWRAP1(os_window_font_size) {
                     resize_screen(os_window, w->render_data.screen, true);
                 }
             }
+            if (OPT(resize_in_steps)) os_window_update_size_increments(os_window);
         }
         return Py_BuildValue("d", os_window->font_sz_in_pts);
     END_WITH_OS_WINDOW
diff --git a/kitty/state.h b/kitty/state.h
index 484d32bd3..051a46daf 100644
--- a/kitty/state.h
+++ b/kitty/state.h
@@ -42,6 +42,7 @@ typedef struct {
     unsigned long tab_bar_min_tabs;
     DisableLigature disable_ligatures;
     ResizeDrawStrategy resize_draw_strategy;
+    bool resize_in_steps;
     bool sync_to_monitor;
     bool close_on_child_death;
     bool window_alert_on_bell;
@@ -245,3 +246,4 @@ void remove_main_loop_timer(id_type timer_id);
 void update_main_loop_timer(id_type timer_id, monotonic_t interval, bool enabled);
 void run_main_loop(tick_callback_fun, void*);
 void stop_main_loop(void);
+void os_window_update_size_increments(OSWindow *window);