n this study, the geodesics and torsion tensor according to g-lift of Riemannianconnection on cotangent bundle 𝑇∗𝑀 are investigated. Firstly, using the components of g-lift ofRiemannian connection on cotangent bundle 𝑇∗𝑀 the components of torsion tensor according to gliftof Riemannian connection are obtained. So the torsion tensor according to g-lift of Riemannianconnection are determined. Finally, geodesics on cotangent bundle 𝑇∗𝑀 according to g-lift ofRiemannian connection are studied.