An incubation and storage device, in particular for specimens of organic material, is provided. Specifically, boundary surfaces of the inner space of the incubation and storage device are thermally connected to heat transfer elements that are attached on the outside of the device. The heat transfer elements have a liquid heat carrier circulating through them, where the heating and/or cooling of the inner space takes indirectly via the liquid heat carrier. Here a heater for heating and an evaporator for cooling the heat carrier are provided. The heat transfer elements can for example, be box shaped or designed as tubular coils. Through the use of a liquid heat carrier, the necessary temperature constancy inside the device is achieved.