Abstract: Existence of solution for a class of boundary value problems of fractional differential equation with p-Laplacian operator is studied based on the variational approach. Firstly, the function space and variational frame of the equation are established. Secondly, by using the mountain pass theorem and iterative technique, the existence of at least one nontrivial solution for the equation is obtained. Finally, an example is given to demonstrate the adaptability of the main conclusions.