An arrangement for attaching a permanent magnet to the rotor of an electrical machine and such a rotor are provided. The rotor is assembled of sheets and includes at least two magnetic poles and a magnetic core. Permanent magnets are installable on a surface of the magnetic core, and a pole piece assembled of sheets is installable on a side of the permanent magnet that faces an air gap. At least one channel passing through the pole piece is built in the pole piece and magnetic core. A tightening strip is installable in the channel. The tightening strip is attachable to the pole piece using locking parts, and an end of the tightening strip facing the magnetic core includes fixing parts for attaching the tightening strip to the magnetic core.