The aim of our paper is to introduce the notion of screen slant lightlike submanifolds of golden semi-Riemannian manifolds. We give some non-trivial examples of screen slant lightlike submanifolds and provide a characterization theorem of such submanifolds. Further, we obtain necessary and sufficient conditions for integrability of the distributions and investigate the geometry of the leaves of the foliation determined by the distributions. We also obtain a necessary and sufficient condition for the induced connection to be a metric connection.