An object of the invention is to provide a safety driving support apparatus capable of detecting a dangerous moving object with high accuracy at quick timing. A safety driving support apparatus 100 of the invention includes a traffic obstacle detection section 101 for detecting a traffic obstacle of the periphery of a vehicle, a speed change induced event detection section 106 for detecting an event of inducing a sudden change in behavior of a pedestrian from a traffic obstacle detected by the traffic obstacle detection section 101, a speed change detection section 102 for detecting a sudden change in behavior of a pedestrian from a traffic obstacle detected by the traffic obstacle detection section 101, and a dangerous pedestrian detection section 109 for deciding that the pedestrian is a dangerous pedestrian when the speed change detection section 102 detects a change in behavior of a pedestrian within a certain time from a point in time when a speed change induced event of a pedestrian detected by the speed change induced event detection section 106 occurs.