The objective of the present paper is to study the W2-curvature tensor of the projective semi-symmetric connection in an SP-Sasakian manifold. It is shown that an SP-Sasakian manifold satisfying the conditions ܲP ⋅W2
ܹ = 0 is an Einstein manifold and ܹW2
. ܲP
= 0 is a quasi Einstein manifold.