Abstract: Improvement for a refrigerant compressor comprising a compressor housing having at least two cylinder bores, pistons in the cylinder bores, a drive shaft chamber and a piston drive shaft in the drive shaft chamber such that this can operate with amounts of lubricant which are as small as possible, it is suggested that in the installed position of the refrigerant compressor the drive shaft chamber form a collection chamber for lubricant with an area which extends over only part of the extension of the drive shaft chamber and is located at the lowest point in the direction of gravity, that the drive shaft chamber have wall surfaces which adjoin the collection chamber and guide the lubricant accumulating in the drive shaft chamber to the collection chamber, and that a lubricant conveying device take up the lubricant from the collection chamber and convey it to lubrication points.