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A simple thermoelastic-plastic problem is solved to show an effect of cyclictemperature fields of a constant amplitude on the development of damage in thin plates.The plate considered is a disc with a central circular hole whose material obeys the vonMises yield criterion with a constant yield stress. The temperature field is assumed to beindependent of the space coordinates. It is shown that the equivalent plastic strain at thehole edge increases after each temperature cycle even if the temperature amplitude isrelatively small. A strain-based approach to damage evolution is adopted to demonstratean effect of such temperature cycles on fatigue life. Even though the very simple structure isconsidered, it is believed that the sensitivity of plastic strain to the variation of temperatureis a general feature for thin plates of arbitrary in-plane shape and, therefore, this featureshould be taken into account in numerical analyses.