  We study the stability of Schwarzschild-Tangherlini (ST) black holes in
fourth-order gravity which provides a higher dimensional linearized massive
equation. The linearized-Ricci tensor perturbation is employed to exhibit
unstable modes featuring the Gregory-Laflamme (GL) instability of higher
dimensional black strings, in comparison to the stable ST black holes in
Einstein gravity. It turns out that the GL instability of the ST black holes in
the fourth-order gravity originates from the massiveness, but not a nature of
fourth-order derivative theories giving ghost states.
