As important demand-side resources, thermostatically controlled loads (TCLs) have great potential in suppressing fluctuations in renewable energy. However, traditional TCLs control strategy usually does not consider the control cost and the life loss caused by the high switching frequency of TCLs. In order to reduce the switch life loss of TCLs, a distributed cooperative control strategy for TCLs based on multi-agent consistency is proposed in this paper. Firstly, the concept of correcting switching time is introduced, and a control cost model that takes into account the thermodynamic characteristics of TCLs and switch life loss is established. Then, multi-agent consistency control is introduced, and the distributed cooperative control method is adopted to achieve the optimal control cost of TCLs. The results of calculation examples show that the proposed control strategy can reflect the thermodynamic characteristics of TCLs, thus greatly reducing the switch life loss under the premise of achieving the control goal.