A method produces piston-type accumulators, including an accumulator housing (10) and a separating piston, which can be displaced in a longitudinal direction inside the accumulator housing (10) and separates two working spaces located in the housing. One end face of the accumulator housing is sealed by cover part (20). The cover part (20) is fixed on one side (40) via the free longitudinal edge (32) of the accumulator housing (10). The edge is displaced towards the cover part (20), such that a functionally and positionally secure connection of a cover part is ensured within the housing of a piston-type accumulator without using standard threaded connections.