In this paper, we have solved the Schrödinger wave equation with Yukawa plus novel angle dependent potential using powerful Nikiforov-Uvarov method and obtained the energy eigenvalues and corresponding wave functions in terms of Jacobi and Laguerre polynomials for the angular and radial part respectively. We have also presented the effect of angle dependent solution on radial solutions and also applied our results to obtain numerical values for some selected diatomic molecules. We also studied the behavior of our potential graphically for H 2 diatomic molecule.