A vehicular control system includes a plurality of sensors that include at least a camera and a 3D point-cloud LIDAR. As the vehicle travels along a road, and responsive at least in part to processing at an electronic control unit of 3D point-cloud LIDAR data captured by the 3D point-cloud LIDAR, the vehicular control system (a) determines presence of a pedestrian or cross traffic vehicle present exterior of the vehicle that (i) is not on the road that is being travelled along by the vehicle and is approaching the road to cross the road ahead of the vehicle and (ii) is at least in the field of sensing of the 3D point-cloud LIDAR and (b) at least in part controls at least one vehicle function of the vehicle responsive at least in part to the determined presence of the pedestrian or cross traffic vehicle.