Abstract:This paper considers the existence of positive solutions for third-order four-point boundary value problem with p-Laplace operator.The main results depend on a parameter, and the conditions are very relaxed.Therefore,it is very convinent to use the results. By constructing a special cone and applying the fixed point index in a cone, a sufficient condition is established.Our results improve on those in the literatures.Finally, an example is worked out to demonstrate our results.