The invention relates to a method for drying and degassing polyolefins. The polymerisation matter leaving a polymerisation reactor is contacted with a degassing medium and relaxed at the same time. According to the invention, the monomer to be polymerised is used as the degassing medium. Said monomer flows through a relaxation container, especially in a cycle process, and is preferably enriched with ethylene or other low-boiling olefins in an amount ranging from 0 to 100 mol % in relation to the entire amount of the cycle gas. Polymerisation is carried out in the relaxation container in an amount of up to 10 % in relation to the entire polymerisation conversion.