diff --git a/.gitignore b/.gitignore
index 87c1bbe..95c12e3 100644
--- a/.gitignore
+++ b/.gitignore
@@ -12,6 +12,7 @@
 
 # Xcode
 build/
+.build/
 DerivedData/
 *.pbxuser
 !default.pbxuser
diff --git a/Package.swift b/Package.swift
new file mode 100644
index 0000000..47f78cb
--- /dev/null
+++ b/Package.swift
@@ -0,0 +1,52 @@
+// swift-tools-version:5.3
+
+import PackageDescription
+
+let major = 3, minor = 2, patch = 2
+
+let package = Package(
+    name: "Olm",
+    platforms: [.iOS(.v8), .macOS(.v10_10)],
+    products: [
+        .library(name: "libolm", targets: ["libolm"]),
+        .library(name: "OLMKit", targets: ["OLMKit"])
+    ],
+    targets: [
+        .target(
+            name: "libolm",
+            path: ".",
+            sources: [
+                "src",
+                "lib/crypto-algorithms/aes.c",
+                "lib/crypto-algorithms/sha256.c",
+                "lib/curve25519-donna/curve25519-donna.c"
+            ],
+            cSettings: [
+                .headerSearchPath("lib"),
+                .define("OLMLIB_VERSION_MAJOR", to: "\(major)"),
+                .define("OLMLIB_VERSION_MINOR", to: "\(minor)"),
+                .define("OLMLIB_VERSION_PATCH", to: "\(patch)")
+            ]
+        ),
+        .target(
+            name: "OLMKit",
+            dependencies: ["libolm"],
+            path: "xcode/OLMKit",
+            exclude: ["Info.plist"],
+            cSettings: [
+                .headerSearchPath("..")
+            ]
+        ),
+        .testTarget(
+            name: "OLMKitTests",
+            dependencies: ["OLMKit"],
+            path: "xcode/OLMKitTests",
+            exclude: ["Info.plist"],
+            cSettings: [
+                .headerSearchPath("..")
+            ]
+        )
+    ],
+    cLanguageStandard: .c99,
+    cxxLanguageStandard: .cxx11
+)
diff --git a/README.md b/README.md
index 43269f8..2f39814 100644
--- a/README.md
+++ b/README.md
@@ -119,7 +119,7 @@ endorsed by the Matrix.org Foundation C.I.C.
 ## Release process
 
 First: bump version numbers in ``common.mk``, ``CMakeLists.txt``,
-``javascript/package.json``, ``python/olm/__version__.py``, ``OLMKit.podspec``,
+``javascript/package.json``, ``python/olm/__version__.py``, ``OLMKit.podspec``, ``Package.swift``,
 and ``android/olm-sdk/build.gradle`` (``versionCode``, ``versionName`` and
 ``version``).
 
diff --git a/include/module.modulemap b/include/module.modulemap
new file mode 100644
index 0000000..ed116dc
--- /dev/null
+++ b/include/module.modulemap
@@ -0,0 +1,4 @@
+module libolm {
+    header "olm/olm.h"
+    export *
+}
diff --git a/xcode/OLMKit/include/module.modulemap b/xcode/OLMKit/include/module.modulemap
new file mode 100644
index 0000000..a13330d
--- /dev/null
+++ b/xcode/OLMKit/include/module.modulemap
@@ -0,0 +1,13 @@
+module OLMKit {
+    header "../OLMAccount.h"
+    header "../OLMSession.h"
+    header "../OLMMessage.h"
+    header "../OLMUtility.h"
+    header "../OLMInboundGroupSession.h"
+    header "../OLMOutboundGroupSession.h"
+    header "../OLMPkEncryption.h"
+    header "../OLMPkDecryption.h"
+    header "../OLMPkSigning.h"
+    header "../OLMSAS.h"
+    export *
+}
diff --git a/xcode/README.rst b/xcode/README.rst
index d56fa85..aeff5dc 100644
--- a/xcode/README.rst
+++ b/xcode/README.rst
@@ -12,15 +12,22 @@ the latest OLMKit release is::
 
     pod 'OLMKit'
 
+Or you can use Swift Package Manager with the URL::
+
+    https://gitlab.matrix.org/matrix-org/olm
+
 Development
 -----------
-Run `pod install` and open `OLMKit.xcworkspace`.
+Run `pod install` and open `OLMKit.xcworkspace` with Xcode.
 
 The project contains only tests files. The libolm and the Objective-C wrapper source files are loaded via the OLMKit CocoaPods pod.
 
 To add a new source file, add it to the file system and run `pod update` to make CocoaPods insert it into OLMKit.xcworkspace. 
 
+Development alternative
+-----------------------
+Based on the Swift package, you can build source files and run tests directly from the command line: `swift test`.
+
 Release
 -------
-See ../README.rst for the release of the CocoaPod.
-
+See ../README.rst for the release of the CocoaPod and the Swift package.