A numerical model for liquid-vapor phase change, which is established by the lattice Boltzmann method, is employed to investigate the effect of horizontal acceleration on the growing process of the bubble in the boiling flow with constant gravitational acceleration. It can be found that the bubble departure diameter decreases exponentially and the release frequency increases exponentially with the horizontal acceleration. Before the detachment of the bubble, it is clearly shown the greater the horizontal acceleration, the greater the upstream contact angle and the smaller the downstream contact angle, and both the upstream and downstream contact angles reach constant as the horizontal acceleration increases to a certain degree. After the detachment of the bubble, the bubble motion trajectory is very close to the down boundary when the horizontal acceleration is large.