In the present paper, we study ∗-Ricci solitons and prove that if a Sasakian 3-manifold M admits ∗-Ricci soliton, then it has constant scalar curvature, and the ow vector field V is Killing. Furthermore, the potential vector field V is an infinitesimal automorphism of the contact metric structure on M. Besides, we study ∗- gradient Ricci solitons on Sasakian 3-manifolds. As a consequence of the main theorem, we obtain several results. © 2018, Publicationes Mathematicae, Debrecen, Hungary.