  We investigate the black holes in the new massive conformal gravity which is
not invariant under conformal transformations because of the presence of the
Einstein-Hilbert term. First, we show that the small Schwarzschild black hole
is unstable against the $s$-mode of linearized Ricci tensor by solving the
Lichnerowicz-Ricci tensor equation. This instability induces the appearance of
the non-BBMB (Bocharova-Bronnikov-Melnikov-Bekenstein) black hole that has both
Ricci tensor and conformal scalar hair.
