The object of the present paper is to study invariant submanifolds of Lorenzian Para-Sasakian manifolds. We consider the recurrent and bi-recurrent invariant submanifolds of Lorentzian para-Sasakian manifolds and pseudo-parallel and generalized Ricci pseudo-parallel invariant submanifolds of Lorentzian para-Sasakian manifolds. Also we search for the conditions Z(X,Y)⋅α=fQ(g,α)Z(X,Y)⋅α=fQ(g,α) and Z(X,Y)⋅α=fQ(S,α)Z(X,Y)⋅α=fQ(S,α) on invariant submanifolds of Lorentzian para-Sasakian manifolds, where ZZ is the concircular curvature tensor. Finally, we construct an example of an invariant submanifold of Lorentzian para Sasakian manifold.