In this paper, by using the continuation theorem of coincidence degree theory, we consider the higher-order Li enard type p-Laplacian differential equation as follows (ϕp(x(m)))(m)+f(x)x′+g(t,x)=e(t). Some new results on the existence of periodic solutions for the previous equation are obtained, which generalize and enrich some known results to some extent from the literature. Copyright © 2011 John Wiley & Sons, Ltd.