diff --git a/.ci/bazel-6.2.0-darwin-x86_64.sha256 b/.ci/bazel-6.2.0-darwin-x86_64.sha256
deleted file mode 100644
index c43d66990..000000000
--- a/.ci/bazel-6.2.0-darwin-x86_64.sha256
+++ /dev/null
@@ -1 +0,0 @@
-d2356012843ce3a2fbba89f88191673a6ad2f7716cc46ad43ec1bcee78d36b44  bazel-6.2.0-darwin-x86_64
diff --git a/.ci/bazel-6.2.0-linux-x86_64.sha256 b/.ci/bazel-6.2.0-linux-x86_64.sha256
deleted file mode 100644
index 26e445252..000000000
--- a/.ci/bazel-6.2.0-linux-x86_64.sha256
+++ /dev/null
@@ -1 +0,0 @@
-3d11c26fb9ba12c833844450bb90165b176e8a19cb5cf5923f3cec855837f17c  bazel-6.2.0-linux-x86_64
diff --git a/.ci/bazel-6.2.0-windows-x86_64.exe.sha256 b/.ci/bazel-6.2.0-windows-x86_64.exe.sha256
deleted file mode 100644
index eecea8507..000000000
--- a/.ci/bazel-6.2.0-windows-x86_64.exe.sha256
+++ /dev/null
@@ -1 +0,0 @@
-3d119e934ffb26910fcbd44dbc5973761480f58d3a06722cb84a90e16d8c5727  bazel-6.2.0-windows-x86_64.exe
diff --git a/.ci/bazel-6.4.0-darwin-x86_64.sha256 b/.ci/bazel-6.4.0-darwin-x86_64.sha256
new file mode 100644
index 000000000..22159ba23
--- /dev/null
+++ b/.ci/bazel-6.4.0-darwin-x86_64.sha256
@@ -0,0 +1 @@
+eef2661dabc3de09c9c8f839f7789b29763ea9987659e432b3c4e6246b3fe5df  bazel-6.4.0-darwin-x86_64
diff --git a/.ci/bazel-6.4.0-linux-x86_64.sha256 b/.ci/bazel-6.4.0-linux-x86_64.sha256
new file mode 100644
index 000000000..46f80cbb8
--- /dev/null
+++ b/.ci/bazel-6.4.0-linux-x86_64.sha256
@@ -0,0 +1 @@
+79e4f370efa6e31717b486af5d9efd95864d0ef13da138582224ac9b2a1bad86  bazel-6.4.0-linux-x86_64
diff --git a/.ci/bazel-6.4.0-windows-x86_64.exe.sha256 b/.ci/bazel-6.4.0-windows-x86_64.exe.sha256
new file mode 100644
index 000000000..85d98b0f6
--- /dev/null
+++ b/.ci/bazel-6.4.0-windows-x86_64.exe.sha256
@@ -0,0 +1 @@
+ff94279f7de7ec604c40b5d760f0dc10bdc880f07e915adced825f53e5f4fa1b  bazel-6.4.0-windows-x86_64.exe
diff --git a/.ci/bazelversion b/.ci/bazelversion
index 6abaeb2f9..19b860c18 100644
--- a/.ci/bazelversion
+++ b/.ci/bazelversion
@@ -1 +1 @@
-6.2.0
+6.4.0
diff --git a/haskell/private/versions.bzl b/haskell/private/versions.bzl
index 15846cf0f..3f84ed377 100644
--- a/haskell/private/versions.bzl
+++ b/haskell/private/versions.bzl
@@ -15,8 +15,8 @@
 # See https://github.com/tweag/rules_haskell/pull/1781#issuecomment-1187640454
 SUPPORTED_BAZEL_VERSIONS = [
     "6.0.0",
-    "6.2.0",
     "6.3.2",
+    "6.4.0",
 ]
 
 SUPPORTED_NIXPKGS_BAZEL_PACKAGES = [
diff --git a/rules_haskell_tests/MODULE.bazel b/rules_haskell_tests/MODULE.bazel
index 35bdf2c01..49c6b4500 100644
--- a/rules_haskell_tests/MODULE.bazel
+++ b/rules_haskell_tests/MODULE.bazel
@@ -114,8 +114,8 @@ use_repo(
     "asterius_bundle_linux_amd64",
     "bazel_6",
     "build_bazel_bazel_6_0_0",
-    "build_bazel_bazel_6_2_0",
     "build_bazel_bazel_6_3_2",
+    "build_bazel_bazel_6_4_0",
     "glibc_locales",
     "linux_amd64_asterius-toolchain",
     "nixpkgs_config_cc",
diff --git a/start b/start
index 401e0fb0b..083f09a27 100755
--- a/start
+++ b/start
@@ -13,7 +13,7 @@ readonly MIN_BAZEL_MAJOR=6
 readonly MIN_BAZEL_MINOR=0
 
 readonly MAX_BAZEL_MAJOR=6
-readonly MAX_BAZEL_MINOR=3
+readonly MAX_BAZEL_MINOR=4
 
 stderr () {
   >&2 echo "$*"