Prepare release 1.6.1 (#501)

diff --git a/CHANGELOG.md b/CHANGELOG.md
index fad4230..765be01 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,3 +1,10 @@
+Release 1.6.1
+
+## What's Changed
+* Fix `modules` Bazel 6 compatibility by @phst in https://github.com/bazelbuild/bazel-skylib/pull/499
+
+**Full Changelog**: https://github.com/bazelbuild/bazel-skylib/compare/1.6.0...1.6.1
+
 Release 1.6.0
 
 ## What's Changed
diff --git a/MODULE.bazel b/MODULE.bazel
index d1063f6..289ac32 100644
--- a/MODULE.bazel
+++ b/MODULE.bazel
@@ -1,7 +1,7 @@
 module(
     name = "bazel_skylib",
     # Keep in sync with version.bzl and @bazel_skylib_gazelle_plugin//:MODULE.bazel
-    version = "1.6.0",
+    version = "1.6.1",
     compatibility_level = 1,
 )
 
diff --git a/gazelle/MODULE.bazel b/gazelle/MODULE.bazel
index 5b303c7..3c9c243 100644
--- a/gazelle/MODULE.bazel
+++ b/gazelle/MODULE.bazel
@@ -1,7 +1,7 @@
 module(
     name = "bazel_skylib_gazelle_plugin",
     # Keep in sync with @bazel_skylib//:MODULE.bazel and @bazel_skylib//:version.bzl
-    version = "1.6.0",
+    version = "1.6.1",
     compatibility_level = 1,
 )
 
diff --git a/version.bzl b/version.bzl
index cad1ea6..fa319a0 100644
--- a/version.bzl
+++ b/version.bzl
@@ -14,4 +14,4 @@
 """The version of bazel-skylib."""
 
 # Keep in sync with MODULE.bazel and @bazel_skylib_gazelle_plugin//:MODULE.bazel
-version = "1.6.0"
+version = "1.6.1"