A process and a system are disclosed for sorption heating and cooling which comprise at least 2 sorption zones. Each sorption zone comprises a heat transfer zone and an adsorption zone containing a sorbent such that the heat transfer zone is in intimate thermal contact with the adsorption zone to permit an essentially uniform temperature lengthwise through the sorption zone and thereby employ essentially all of the sorbent in the process at all times. The process comprises passing heat transfer streams such as a hot stream, a cold stream, and a recirculation stream through the heat transfer zone and routing a refrigerant through the adsorption zone of each sorption zone to affect a desorption stroke, an intermediate stroke and an adsorption stroke in the adsorption zone. Rotary and multi-port valves are employed to circulate the refrigerant and the heat transfer streams. The resulting sorption cooling process achieves a significantly higher coefficient of performance than the prior art.