  In this work we aim at the question of holographic phase transitions in two
dimensional systems with Lifshitz scaling. We consider the gravity side
candidate for a dual description as the black hole solution of New Massive
Gravity (NMG) with Lifshitz scaling. We discuss the effects due to the Lifshitz
scaling in the AGGH (Ayon-Beato-Garbarz-Giribet-Hassa\"i{\i}ne) solution in
comparison with the BTZ (Ba\~nados-Teitelboim-Zanelli) black hole. Likewise, we
compute the order parameter and it indicates a second order phase transition in
a (1+1) dimension Lifshitz boundary.
