  We compute Seshadri constants of a torus equivariant nef vector bundle on a
projective space satisfying certain conditions. As an application, we compute
Seshadri constants of tangent bundles on projective spaces. We also consider
equivariant nef vector bundles on Bott towers of height 2 (i.e. Hirzebruch
surfaces) and Bott towers of height 3 respectively. Assuming some conditions on
the minimal slope of the restrictions of these bundles to invariant curves, we
give precise values of Seshadri constant at an arbitrary point. We also give
several examples illustrating our results.
