Summary: In this paper, we studied the tangent bundle endowed with semi-symmetric metric connection obtained by vertical and complete lifts of a semi-symmetric metric P-connection on the base manifold. Firstly, we give relationships between \((TM, g^c)\) and \((M, g)\) to be an Einstein manifolds. Secondly, we investigate necessary and sufficient conditions for \((TM, g^c)\) with complete and vertical lift of torqued potential fields to be Ricci soliton.