diff --git a/dev/tasks/java-jars/github.yml b/dev/tasks/java-jars/github.yml
index c3119946450e4..affa26a1d9332 100644
--- a/dev/tasks/java-jars/github.yml
+++ b/dev/tasks/java-jars/github.yml
@@ -129,6 +129,14 @@ jobs:
           done
           brew install --overwrite python
 
+          if [ "$(uname -m)" = "arm64" ]; then
+            # pkg-config formula is deprecated but it's still installed
+            # in GitHub Actions runner now. We can remove this once
+            # pkg-config formula is removed from GitHub Actions runner.
+            brew uninstall pkg-config || :
+            brew uninstall pkg-config@0.29.2 || :
+          fi
+
           brew bundle --file=arrow/cpp/Brewfile
           # We want to link aws-sdk-cpp statically but Homebrew's
           # aws-sdk-cpp provides only shared library. If we have
diff --git a/dev/tasks/verify-rc/github.macos.yml b/dev/tasks/verify-rc/github.macos.yml
index e0272e8f4e321..da6d274918f39 100644
--- a/dev/tasks/verify-rc/github.macos.yml
+++ b/dev/tasks/verify-rc/github.macos.yml
@@ -42,8 +42,23 @@ jobs:
       - name: Install System Dependencies
         shell: bash
         run: |
+          {% if github_runner in ("macos-14", "macos-latest") %}
+          # pkg-config formula is deprecated but it's still installed
+          # in GitHub Actions runner now. We can remove this once
+          # pkg-config formula is removed from GitHub Actions runner.
+          brew uninstall pkg-config || :
+          brew uninstall pkg-config@0.29.2 || :
+          {% endif %}
+
           brew bundle --file=arrow/cpp/Brewfile
           brew bundle --file=arrow/c_glib/Brewfile
+
+          # For Meson.
+          # See also: https://github.com/mesonbuild/meson/issues/7701
+          pkgconf="$(brew --prefix pkgconf)/bin/pkgconf"
+          if [ -x "${pkgconf}" ]; then
+            echo "PKG_CONFIG=${pkgconf}" >> $GITHUB_ENV
+          fi
       {% endif %}
 
       - uses: actions/setup-java@v2