Abstract: A Stirling heating pump has a working piston acting upon a compression chamber and actuated by a crank drive accommodated in a housing, and a diaphragm bellows surrounding the working piston for sealing the compression chamber from the housing and having an inner hollow communicating with the former. Pressure variations in the interior of the diaphragm bellows are compensated by a pressure throttling element arranged between the compression chamber and the inner hollow of the diaphragm bellows, and a compensating diaphragm expansible in the housing and having an inner hollow communicating with the inner hollow of the diaphragm bellows serves to form a closed flow circuit.