A thermo-elastoplastic response of a long tube under periodic temperature cycle from its inner surface is analyzed. The temperature of the inner surface increases linearly with time, remains constant for a while at a maximum value, and then cools down linearly to the initial temperature. Thermo- elastic and plastic stress distributions in the tube under these conditions are determined through analytical means. Plastic stress states are treated using Tresca's yield criterion. The tube undergoes elastic, elastoplastic and unloading stages during the temperature cycle.