A new projection algorithm is proposed for the common elements of variational inequality problems and fixed point problems. Under appropriate conditions, it is proved that the iterative sequence generated by the algorithm strongly converges to the common element of the solution set for pseudomonotone variational inequality problem and the common fixed point set of two semi-contractive mappings by using viscous approximation method and projection operator skills. Finally, numerical experiments illustrate the effectiveness of the algorithm and shou that the performance of the proposed algorithm is better then existing alrorithm.