The present paper deals with the study of Riemannian mani-folds whose metric is Ricci almost soliton with a conformal Killing vector eld. We also study Ricci almost solitons on Riemannian manifolds with respect to semi- symmetric metric connection and obtain a necessary and sucient condition of a Ricci almost soliton on Riemannian manifold with respect to semi- symmetric metric connection to be Ricci almost soliton on Riemannian manifold with respect to Levi-Civita connection.