  We obtain the statistical entropy of a scalar field on the Schwarzschild
black hole in holographic massive gravity by considering corrections on the
density of quantum states to all orders in the Planck length from a generalized
uncertainty principle (GUP). As a result, we find not only the generalized
Bekenstein-Hawking entropy depending on holographically massive gravitons
without any artificial cutoff, but also new additional correction terms, which
are proportional to surface gravity. Moreover, we also observe that all order
GUP corrected entropy is improved to have smaller GUP parameter $\lambda$ than
the previous results.
