diff --git a/changelog/fix_make_styleidenticalconditionalbranches.md b/changelog/fix_make_styleidenticalconditionalbranches.md
new file mode 100644
index 00000000000..e2fd61e4d68
--- /dev/null
+++ b/changelog/fix_make_styleidenticalconditionalbranches.md
@@ -0,0 +1 @@
+* [#9959](https://github.com/rubocop/rubocop/issues/9959): Make `Style/IdenticalConditionalBranches` able to handle ternary `if`s. ([@dvandersluis][])
diff --git a/lib/rubocop/cop/style/identical_conditional_branches.rb b/lib/rubocop/cop/style/identical_conditional_branches.rb
index dfdd226ad2f..0eaf35d3367 100644
--- a/lib/rubocop/cop/style/identical_conditional_branches.rb
+++ b/lib/rubocop/cop/style/identical_conditional_branches.rb
@@ -134,11 +134,13 @@ def duplicated_expressions?(expressions)
           expressions.size > 1 && expressions.uniq.one?
         end
 
-        def check_expressions(node, expressions, insert_position)
+        def check_expressions(node, expressions, insert_position) # rubocop:disable Metrics/MethodLength
           inserted_expression = false
 
           expressions.each do |expression|
             add_offense(expression) do |corrector|
+              next if node.if_type? && node.ternary?
+
               range = range_by_whole_lines(expression.source_range, include_final_newline: true)
               corrector.remove(range)
               next if inserted_expression
diff --git a/spec/rubocop/cop/style/identical_conditional_branches_spec.rb b/spec/rubocop/cop/style/identical_conditional_branches_spec.rb
index 61caf99e867..2a9d993727b 100644
--- a/spec/rubocop/cop/style/identical_conditional_branches_spec.rb
+++ b/spec/rubocop/cop/style/identical_conditional_branches_spec.rb
@@ -382,4 +382,16 @@
       RUBY
     end
   end
+
+  context 'with a ternary' do
+    it 'registers an offense' do
+      expect_offense(<<~RUBY)
+        x ? y : y
+                ^ Move `y` out of the conditional.
+            ^ Move `y` out of the conditional.
+      RUBY
+
+      expect_no_corrections
+    end
+  end
 end