In this paper, we study screen quasi-conformal irrotational half lightlike submanifolds M of a semi-Riemannian space form $ ilde{M}(c)$ admitting a semi-symmetric non-metric connection, whose structure vector field ${zeta}$ is tangent to M. The main result is a classification theorem for such Einstein half lightlike submanifolds of a Lorentzian space form admitting a semi-symmetric non-metric connection.