diff --git a/shell-integration/kitty.zsh b/shell-integration/kitty.zsh
index 4e21c03aa..d493f9093 100644
--- a/shell-integration/kitty.zsh
+++ b/shell-integration/kitty.zsh
@@ -53,6 +53,7 @@
         if [[ "$_ksi_prompt[mark]" == "y" ]]; then _ksi_osc "133;$1"; fi
     }
     _ksi_prompt[start_mark]="%{$(_ksi_mark A)%}"
+    _ksi_prompt[secondary_mark]="%{$(_ksi_mark 'A;k=s')%}"
 
     function _ksi_set_title() {
         if [[ "$_ksi_prompt[title]" == "y" ]]; then _ksi_osc "2;$1"; fi
@@ -87,6 +88,9 @@
             # not called when the prompt is redrawn after a window resize or when a background
             # job finishes
             if [[ "$PS1" != *"$_ksi_prompt[start_mark]"* ]]; then PS1="$_ksi_prompt[start_mark]$PS1" fi
+            # PS2 is used for prompt continuation. On resize with a continued prompt only the last
+            # prompt is redrawn so we need to mark it
+            if [[ "$PS2" != *"$_ksi_prompt[secondary_mark]"* ]]; then PS2="$_ksi_prompt[secondary_mark]$PS2" fi
         fi
         _ksi_prompt[state]="precmd"
     }
@@ -121,6 +125,7 @@
             _ksi_mark "C"; 
             # remove the prompt mark sequence while the command is executing as it could read/modify the value of PS1
             PS1="${PS1//$_ksi_prompt[start_mark]/}"
+            PS2="${PS2//$_ksi_prompt[secondary_mark]/}"
         fi
         # Set kitty window title to the currently executing command
         _ksi_set_title "$1"