iOS Matter support is built into the system frameworks. Developers use two core frameworks: Matter.framework (low-level protocol stack with Cluster-level control) and MatterSupport (high-level commissioning extension that lets third-party apps join Apple Home's commissioning flow).
Matter.framework shipped with iOS 16.0 and is now in its 4th OS cycle with continuously expanding Cluster APIs. MatterSupport, available from iOS 16.1, is the recommended path for third-party apps.