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We investigate scalarized black holes in new massive gravity dressed by anonminimally coupled scalar. For this purpose, we find the Gregory-Laflamme(GL) and tachyonic instability bounds of bald BTZ black hole expressed in termsof $ m^2$ a massive spin-2 parameter and $\alpha$ a scalar coupling parameterto Ricci scalar by making use of the linearized theory around black hole. Onthe other hand, we obtain a solution bound of $0.161<\alpha <3/16$ forachieving non-BTZ black holes with scalar hair analytically and a thermodynamicbound of $1/8<\alpha <13/80$ for obtaining consistent thermodynamic quantities.Without imposing the GL instability bound ($m^2<1/2\ell^2$), we find a verynarrow bound of $0.161<\alpha<0.1625$ which is located inside tachyonicinstability bound of $\alpha>1/8+m^2_\Phi \ell^2/6$ for obtaining scalarizedblack holes where $m^2_\Phi$ is a scalar mass parameter.

Scalarized black holes in new massive gravity dressed by a nonminimally coupled scalar