In order to make the naval gun satisfy the terminal angular constraint while striking near shore maneuver target in terminal guidance section, a space terminal guidance law based on the adaptive RBF(radial basis function) approximation network and dynamic surface was proposed, which takes the dynamic characteristics of autopilot in consideration. The space relative motion model was constructed, and the extended state observer with modified tracking differentiator was used to estimate the acceleration of target. Aiming at zeroing the tracking error about line of sight angle and angular velocity, the nonsingular terminal sliding mode was designed with adopting adaptive exponential reaching law. The adaptive RBF approximation network was applied to weaken control instruction chattering. The tracking error about line of sight angle and angular velocity in system is uniformly bounded, which was proved by Lyapunov second method. Simulation experiment shows this terminal guidance law makes the guided projectile possess well terminal guidance performance while striking targets with different maneuver forms in space.