We study contact screen transversal Cauchy-Riemann (STCR)-lightlike submanifolds of indefinite Sasakian manifolds. We prove existence and non-existence theorems and find the integrability conditions of integrability of various distributions. We derive some characterization theorems for a contact STCR-lightlike submanifold to be a STCR-lightlike product. Moreover, we find results for minimal contact STCR-lightlike submanifolds of indefinite Sasakian manifolds. We also give examples.