Let (Mn; g) be a Riemannian manifold and TMn the total space of its tangent bundle. In this paper, we determine the infinitesimal fiber-preserving holomorphically projective (IFHP) transformations on TMn with respect to the Levi-Civita connection of the deformed complete lift metric ~Gf = gC + (fg)V , where f is a nonzero differentiable function on Mn and gC and gV are the complete lift and the vertical lift of g on TMn, respectively. Morevore, we prove that every IFHP transformation on (TMn; ~Gf ) is reduced to an affine and induces an infinitesimal affine transformation on (Mn; g).
