In this paper, we study the existence of positive solutions for the nonlinear fourth-order difference equation boundary value problem 2〉+y(%G0) =0,i€T2 = {2,3,"・, 7*--1}, [w(0) = Aw(0) = Aw(T) =&n(0) =0, where T孑4 is a fixed positive integer,/: [0, [0, °°) is continuous, The proof of the main results is based on the LeraySchauder fixed point theorem.