We study black holes in the Hořava-Lifshitz gravity with a parameter $λ$. For $1/3 \le λ< 3$, the black holes behave the Lifshitz black holes with dynamical exponent $0 < z \le 4$, while for $λ> 3$, the black holes behave the Reissner-Nordström type black hole in asymptotically flat spacetimes. Hence, these all are quite different from the Schwarzschild-AdS black hole of Einstein gravity. The temperature, mass, entropy, and heat capacity are derived for investigating thermodynamic properties of these black holes.