Softie Riemannian metrics on tangent and cotangent bundles of a Riemannian manifold endowed with a Riemannian metric g were defined and studied by S. Sasaki [2 ], S. Ishakawa [3], K. Şato [6] and others. In this paper, we will define Riemannian metrics Tg, Fg, Kg on TM and State some properties related to these metrics