Abstract: In this paper we study the maximal position process of  branching Brownian motion in random spatial environment.  The random environment is given by a  process $\xi = \left(\xi(x)\right)_{x\in\mathbb{R}}$ satisfying certain conditions.  We show that the maximum position $M_t$ of particles alive at time $t$ satisfies a quenched strong law of large numbers and an annealed invariance principle. This talk is based on a joint work with Yanxia Ren and Renming Song.