In this paper, we consider the Duffing type p-Laplacian equation with multiple deviating arguments of the form $$({varphi}_p(x^{prime}(t)))^{prime}+Cx^{prime}(t)+go(t,x(t))+sum_{k=1}^ngk(t,x(t-{ au}_k(t)))=e(t)$$. By using the coincidence degree theory, we establish new results on the existence and uniqueness of periodic solutions for the above equation. Moreover, an example is given to illustrate the effectiveness of our results.