diff --git a/Library/Homebrew/cask/dsl.rb b/Library/Homebrew/cask/dsl.rb
index d4d06da622..4499f1bffc 100644
--- a/Library/Homebrew/cask/dsl.rb
+++ b/Library/Homebrew/cask/dsl.rb
@@ -243,6 +243,17 @@ module Cask
       end
     end
 
+    # @api public
+    def arch(arm: nil, intel: nil)
+      should_return = arm.blank? && intel.blank?
+
+      set_unique_stanza(:arch, should_return) do
+        @on_system_blocks_exist = true
+
+        on_arch_conditional(arm: arm, intel: intel)
+      end
+    end
+
     # `depends_on` uses a load method so that multiple stanzas can be merged.
     # @api public
     def depends_on(*args)
diff --git a/Library/Homebrew/extend/on_system.rb b/Library/Homebrew/extend/on_system.rb
index 77f323f24c..8ba6415b99 100644
--- a/Library/Homebrew/extend/on_system.rb
+++ b/Library/Homebrew/extend/on_system.rb
@@ -65,6 +65,13 @@ module OnSystem
         result
       end
     end
+
+    base.define_method(:on_arch_conditional) do |arm:, intel:|
+      @on_system_blocks_exist = true
+
+      return arm if OnSystem.arch_condition_met? :arm
+      return intel if OnSystem.arch_condition_met? :intel
+    end
   end
 
   sig { params(base: Class).void }
diff --git a/Library/Homebrew/livecheck.rb b/Library/Homebrew/livecheck.rb
index 66abd5142f..f02eef7e1e 100644
--- a/Library/Homebrew/livecheck.rb
+++ b/Library/Homebrew/livecheck.rb
@@ -143,7 +143,8 @@ class Livecheck
   end
 
   delegate version: :@package_or_resource
-  private :version
+  delegate arch: :@package_or_resource
+  private :version, :arch
 
   # Returns a `Hash` of all instance variable values.
   # @return [Hash]
diff --git a/Library/Homebrew/rubocops/cask/constants/stanza.rb b/Library/Homebrew/rubocops/cask/constants/stanza.rb
index 93a9b67d55..959beda606 100644
--- a/Library/Homebrew/rubocops/cask/constants/stanza.rb
+++ b/Library/Homebrew/rubocops/cask/constants/stanza.rb
@@ -6,7 +6,7 @@ module RuboCop
     # Constants available globally for use in all cask cops.
     module Constants
       STANZA_GROUPS = [
-        [:version, :sha256],
+        [:version, :sha256, :arch],
         [:language],
         [:url, :appcast, :name, :desc, :homepage],
         [:livecheck],
diff --git a/Library/Homebrew/test/cask/cask_spec.rb b/Library/Homebrew/test/cask/cask_spec.rb
index f52ba3cb66..5b912ae3ca 100644
--- a/Library/Homebrew/test/cask/cask_spec.rb
+++ b/Library/Homebrew/test/cask/cask_spec.rb
@@ -218,25 +218,25 @@ describe Cask::Cask, :cask do
       <<~JSON
         {
           "arm64_big_sur": {
-            "url": "file://#{TEST_FIXTURE_DIR}/cask/caffeine/1.2.0/arm.zip",
+            "url": "file://#{TEST_FIXTURE_DIR}/cask/caffeine/darwin-arm64/1.2.0/arm.zip",
             "version": "1.2.0",
             "sha256": "8c62a2b791cf5f0da6066a0a4b6e85f62949cd60975da062df44adf887f4370b"
           },
           "monterey": {
-            "url": "file://#{TEST_FIXTURE_DIR}/cask/caffeine/1.2.3/intel.zip"
+            "url": "file://#{TEST_FIXTURE_DIR}/cask/caffeine/darwin/1.2.3/intel.zip"
           },
           "big_sur": {
-            "url": "file://#{TEST_FIXTURE_DIR}/cask/caffeine/1.2.0/intel.zip",
+            "url": "file://#{TEST_FIXTURE_DIR}/cask/caffeine/darwin/1.2.0/intel.zip",
             "version": "1.2.0",
             "sha256": "8c62a2b791cf5f0da6066a0a4b6e85f62949cd60975da062df44adf887f4370b"
           },
           "catalina": {
-            "url": "file://#{TEST_FIXTURE_DIR}/cask/caffeine/1.0.0/intel.zip",
+            "url": "file://#{TEST_FIXTURE_DIR}/cask/caffeine/darwin/1.0.0/intel.zip",
             "version": "1.0.0",
             "sha256": "1866dfa833b123bb8fe7fa7185ebf24d28d300d0643d75798bc23730af734216"
           },
           "mojave": {
-            "url": "file://#{TEST_FIXTURE_DIR}/cask/caffeine/1.0.0/intel.zip",
+            "url": "file://#{TEST_FIXTURE_DIR}/cask/caffeine/darwin/1.0.0/intel.zip",
             "version": "1.0.0",
             "sha256": "1866dfa833b123bb8fe7fa7185ebf24d28d300d0643d75798bc23730af734216"
           }
diff --git a/Library/Homebrew/test/cask/cmd/list_spec.rb b/Library/Homebrew/test/cask/cmd/list_spec.rb
index 86704bc041..0ce95eb216 100644
--- a/Library/Homebrew/test/cask/cmd/list_spec.rb
+++ b/Library/Homebrew/test/cask/cmd/list_spec.rb
@@ -160,7 +160,7 @@ describe Cask::Cmd::List, :cask do
             ],
             "desc": null,
             "homepage": "https://brew.sh/",
-            "url": "file://#{TEST_FIXTURE_DIR}/cask/caffeine/1.2.3/arm.zip",
+            "url": "file://#{TEST_FIXTURE_DIR}/cask/caffeine/darwin-arm64/1.2.3/arm.zip",
             "appcast": null,
             "version": "1.2.3",
             "versions": {
diff --git a/Library/Homebrew/test/cask/dsl_spec.rb b/Library/Homebrew/test/cask/dsl_spec.rb
index f8f3c0ecf7..6572836ace 100644
--- a/Library/Homebrew/test/cask/dsl_spec.rb
+++ b/Library/Homebrew/test/cask/dsl_spec.rb
@@ -305,6 +305,38 @@ describe Cask::DSL, :cask do
     end
   end
 
+  describe "arch stanza" do
+    let(:token) { "invalid/invalid-two-arch" }
+
+    it "prevents defining multiple arches" do
+      expect { cask }.to raise_error(Cask::CaskInvalidError, /'arch' stanza may only appear once/)
+    end
+
+    context "when no intel value is specified" do
+      let(:token) { "arch-arm-only" }
+
+      context "when running on arm" do
+        before do
+          allow(Hardware::CPU).to receive(:type).and_return(:arm)
+        end
+
+        it "returns the value" do
+          expect(cask.url.to_s).to eq "file://#{TEST_FIXTURE_DIR}/cask/caffeine-arm.zip"
+        end
+      end
+
+      context "when running on intel" do
+        before do
+          allow(Hardware::CPU).to receive(:type).and_return(:intel)
+        end
+
+        it "defaults to `nil` for the other when no arrays are passed" do
+          expect(cask.url.to_s).to eq "file://#{TEST_FIXTURE_DIR}/cask/caffeine.zip"
+        end
+      end
+    end
+  end
+
   describe "appcast stanza" do
     let(:token) { "with-appcast" }
 
diff --git a/Library/Homebrew/test/support/fixtures/cask/Casks/arch-arm-only.rb b/Library/Homebrew/test/support/fixtures/cask/Casks/arch-arm-only.rb
new file mode 100644
index 0000000000..c40235d15d
--- /dev/null
+++ b/Library/Homebrew/test/support/fixtures/cask/Casks/arch-arm-only.rb
@@ -0,0 +1,10 @@
+cask "arch-arm-only" do
+  version "1.2.3"
+  sha256 "67cdb8a02803ef37fdbf7e0be205863172e41a561ca446cd84f0d7ab35a99d94"
+  arch arm: "-arm"
+
+  url "file://#{TEST_FIXTURE_DIR}/cask/caffeine#{arch}.zip"
+  homepage "https://brew.sh/"
+
+  app "Caffeine.app"
+end
diff --git a/Library/Homebrew/test/support/fixtures/cask/Casks/invalid/invalid-two-arch.rb b/Library/Homebrew/test/support/fixtures/cask/Casks/invalid/invalid-two-arch.rb
new file mode 100644
index 0000000000..15112831e6
--- /dev/null
+++ b/Library/Homebrew/test/support/fixtures/cask/Casks/invalid/invalid-two-arch.rb
@@ -0,0 +1,11 @@
+cask "invalid-two-arch" do
+  version "1.2.3"
+  sha256 "67cdb8a02803ef37fdbf7e0be205863172e41a561ca446cd84f0d7ab35a99d94"
+  arch arm: "arm", intel: "intel"
+  arch arm: "amd64", intel: "x86_64"
+
+  url "file://#{TEST_FIXTURE_DIR}/cask/caffeine.zip"
+  homepage "https://brew.sh/"
+
+  app "Caffeine.app"
+end
diff --git a/Library/Homebrew/test/support/fixtures/cask/Casks/multiple-versions.rb b/Library/Homebrew/test/support/fixtures/cask/Casks/multiple-versions.rb
index ad05491a2d..f4e112f956 100644
--- a/Library/Homebrew/test/support/fixtures/cask/Casks/multiple-versions.rb
+++ b/Library/Homebrew/test/support/fixtures/cask/Casks/multiple-versions.rb
@@ -1,11 +1,9 @@
 cask "multiple-versions" do
-  arch = "arm"
   version "1.2.3"
   sha256 "67cdb8a02803ef37fdbf7e0be205863172e41a561ca446cd84f0d7ab35a99d94"
+  arch arm: "arm", intel: "intel"
 
-  on_intel do
-    arch = "intel"
-  end
+  platform = on_arch_conditional arm: "darwin-arm64", intel: "darwin"
 
   on_big_sur do
     version "1.2.0"
@@ -17,7 +15,7 @@ cask "multiple-versions" do
     sha256 "1866dfa833b123bb8fe7fa7185ebf24d28d300d0643d75798bc23730af734216"
   end
 
-  url "file://#{TEST_FIXTURE_DIR}/cask/caffeine/#{version}/#{arch}.zip"
+  url "file://#{TEST_FIXTURE_DIR}/cask/caffeine/#{platform}/#{version}/#{arch}.zip"
   homepage "https://brew.sh/"
 
   app "Caffeine.app"