diff --git a/Formula/x/xz.rb b/Formula/x/xz.rb
new file mode 100644
index 00000000000..14ad1e6f6ef
--- /dev/null
+++ b/Formula/x/xz.rb
@@ -0,0 +1,52 @@
+class Xz < Formula
+  desc "General-purpose data compression with high compression ratio"
+  homepage "https://tukaani.org/xz/"
+  # The archive.org mirror below needs to be manually created at `archive.org`.
+  url "https://github.com/tukaani-project/xz/releases/download/v5.6.2/xz-5.6.2.tar.gz"
+  mirror "https://downloads.sourceforge.net/project/lzmautils/xz-5.6.2.tar.gz"
+  mirror "https://archive.org/download/xz-5.6.2.tar/xz-5.6.2.tar.gz"
+  mirror "http://archive.org/download/xz-5.6.2.tar/xz-5.6.2.tar.gz"
+  sha256 "8bfd20c0e1d86f0402f2497cfa71c6ab62d4cd35fd704276e3140bfb71414519"
+  license all_of: [
+    "0BSD",
+    "GPL-2.0-or-later",
+  ]
+  version_scheme 1
+
+  bottle do
+    root_url "https://github.com/gromgit/homebrew-core-aarch64_linux/releases/download/xz-5.6.2"
+    sha256 cellar: :any_skip_relocation, aarch64_linux: "11e69230aeb03ac236e5fe9420ea2d9ca1fe02c6229e0bd4da7b29ef295295dd"
+  end
+
+  deny_network_access! [:build, :postinstall]
+
+  def install
+    system "./configure", *std_configure_args, "--disable-silent-rules", "--disable-nls"
+    system "make", "check"
+    system "make", "install"
+  end
+
+  test do
+    path = testpath/"data.txt"
+    original_contents = "." * 1000
+    path.write original_contents
+
+    # compress: data.txt -> data.txt.xz
+    system bin/"xz", path
+    refute_predicate path, :exist?
+
+    # decompress: data.txt.xz -> data.txt
+    system bin/"xz", "-d", "#{path}.xz"
+    assert_equal original_contents, path.read
+
+    # Check that http mirror works
+    xz_tar = testpath/"xz.tar.gz"
+    stable.mirrors.each do |mirror|
+      next if mirror.start_with?("https")
+
+      xz_tar.unlink if xz_tar.exist?
+      system "curl", "--location", mirror, "--output", xz_tar
+      assert_equal stable.checksum.hexdigest, xz_tar.sha256
+    end
+  end
+end