A device for fastening the housing (2) of a refrigerant compressor at a container enclosing a cooling volume, wherein the housing (2) can be fastened to a support element (1) located at the container by way of an arbitrary number of connecting elements (3), wherein at least one connecting element (3) is provided that can be fixed in clamped or latched fashion in at least one corresponding receptacle (4), wherein the at least one connection element (3) and the at least one receptacle (4) can be located either at the housing (2) or at the support element (1). In order to facilitate a simple, fast and nevertheless reliable fastening of the refrigerant compressor at the support element (1), it is provided according to the invention that the housing (2) can be moved from a first mounting position in which the at least one connection element (3) is laid into the at least one receptacle (4) to an operating position in which the connection element (3) is fixed in the receptacle (4) in clamped or latched fashion.