Abstract: With MY(mean yield) criterion, the limit loads of simply supported circular plate under linearly and uniformly distributed load were analyzed, and two analytical solutions to two forms of loads were obtained. The solutions showed that both the limit loads are the function of circular plate radius a, radius of the maximum tangential stress location r0 and ultimate bending moment. The limit load of the first form calculated by the solution is compared with those based on Tresca, Mises, as well as TSS yield criteria. It is shown that Tresca criterion predicts a lower bound to the collapse load, while TSS criterion predicts an upper bound one. The limit load based on the MY criterion lies between the TSS and Tresca solutions, and the MY solution is closed to Mises solution. Besides, the effect of circular plate radius a on r0 is also discussed.