Let (M, g) be a Finsler manifold and TM0 its slit tangent bundle with the complete lift metric ˜g. In this paper, we prove that every infinitesimal complete lift projective transformation on (TM0, g˜), is an infinitesimal affine transformation. Moreover, if (M, g) is a Landsberg manifold, then there is a one-to-one correspondence between infinitesimal complete lift projective transformations on (TM0, g˜) and infinitesimal affine transformations on (M, g).
