The object of the present paper is to study $M$-projective curvature tensor, pseudo projective curvature tensor, Ricci curvature tensor in para-Sasakian manifold admitting conformal Ricci soliton. We have studied $M$-projective semi symmetric para-Sasakian manifolds admitting a conformal Ricci soliton. We have found that an $M$-projective Ricci symmetric para-Sasakian manifold admitting a conformal Ricci soliton is a quadratic equation. We have proved that a pseudo projective semi symmetric para-Sasakian manifold admitting a conformal Ricci soliton is an $\eta $-Einstein manifold. We have also studied Ricci pseudo projectively symmetric para-Sasakian manifold.