Abstract: The invention relates to a method for the production of copolymer based on ethylene by continuous copolymerization of ethylene and comonomer in a reactor in the presence of a catalyst. In this method, in a first step of the copolymerization, a mixture comprising ethylene and comonomer of such a composition that a copolymer-containing coating deposits in the reactor is metered into the reactor and/or generated in the reactor, and, in a second step, the concentration of the comonomer in the metered-in mixture and/or in the mixture generated in the reactor is reduced sufficiently and/or the concentration of the ethylene in the metered-in mixture and/or in the mixture generated in the reactor is increased sufficiently that the coating is removed from the reactor either partially or completely. The method has the advantage that the production of copolymer does not have to be interrupted during cleaning of the reactor.