The invention discloses a clutch and a release bearing thereof. The release bearing comprises an outer ring and a gasket. An inner folded edge is arranged at the axial end of the outer ring, the gasket is located on the axial outer side of the inner folded edge, and the gasket is provided with an installation part. An axial through groove is formed in the inner folded edge. The installation part is set in the manner that when the outer ring and the gasket are installed, the installation part can pass through the axial through groove, and the installation part can rotate by a preset angle along with the gasket when passing through the axial through groove till the installation part and the inner folded edge are installed in an anti-rotation manner. According to the technical scheme, the risk of the installation failure of the installation part and the inner folded edge is lowered, and it is ensured that effective and stable anti-rotation installation is formed by the installation part and the inner folded edge.