diff --git a/app/finders/branches_finder.rb b/app/finders/branches_finder.rb
index 533076585c05c0a9d97bc928e9bd4dbddeda1172..852eac3647d4c41e691f40eaec976cc22f347aaf 100644
--- a/app/finders/branches_finder.rb
+++ b/app/finders/branches_finder.rb
@@ -23,7 +23,7 @@ class BranchesFinder
 
   def filter_by_name(branches)
     if search
-      branches.select { |branch| branch.name.include?(search) }
+      branches.select { |branch| branch.name.upcase.include?(search.upcase) }
     else
       branches
     end
diff --git a/changelogs/unreleased/35199-case-insensitive-branches-search.yml b/changelogs/unreleased/35199-case-insensitive-branches-search.yml
new file mode 100644
index 0000000000000000000000000000000000000000..da2729e9e55b3984294f17d0f6caae781360f9d7
--- /dev/null
+++ b/changelogs/unreleased/35199-case-insensitive-branches-search.yml
@@ -0,0 +1,5 @@
+---
+title: Case insensitive search for branches
+merge_request: 14995
+author: George Andrinopoulos
+type: fixed
diff --git a/spec/finders/branches_finder_spec.rb b/spec/finders/branches_finder_spec.rb
index 91f34973ba5ddc7bf0d74435b2122e3f68016f79..9e3f2c69606b505a8bb45c78a08d9a3110db22e1 100644
--- a/spec/finders/branches_finder_spec.rb
+++ b/spec/finders/branches_finder_spec.rb
@@ -46,6 +46,15 @@ describe BranchesFinder do
         expect(result.count).to eq(1)
       end
 
+      it 'filters branches by name ignoring letter case' do
+        branches_finder = described_class.new(repository, { search: 'FiX' })
+
+        result = branches_finder.execute
+
+        expect(result.first.name).to eq('fix')
+        expect(result.count).to eq(1)
+      end
+
       it 'does not find any branch with that name' do
         branches_finder = described_class.new(repository, { search: 'random' })