By using the continuation theorem of coincidence degree theory due to Mawhin and the new analytical method, we study the T-periodic solutions to a class of third order p-Laplacian equations with distributed delays as follows (?p((x(t) - cx(t -σ))00))0+f1(x(t))x0(t)+f2(x0(t))x00(t)+g(t, x(t), x(t-τ(t)), R 0-r x(t+s) dm(s))=e(t). Some new results for existence of T-periodic solutions to such equations are obtained.