We use the coincidence degree theory to establish new results on the existence of $\omega$-periodic solutions for the Li\'{e}nard-type equation with deviating arguments $$x''(t)+f_1(t,x(t))|x'(t)|^2+f_2(t,x(t),x(t-\tau_{0}(t)))x'(t)+g(t,x(t-\tau_{1} (t)))=p(t).$$ The results improve and extend some existing ones in the literature.
