A drive assist apparatus includes: a road-information storage unit storing road information; a traffic-signal information storage unit to store information regarding a traffic-signal change timing; a receiving unit to receive other-vehicle information; an obtaining unit to obtain host-vehicle information; a determining unit to determine whether the other vehicle becomes an obstacle to the host vehicle; and a calculating unit to calculate a recommended speed based on the host-vehicle information, the road information, and information regarding the traffic-signal change timing, when the other vehicle is determined to not become an obstacle to the host vehicle, and calculate the recommended speed based on the host-vehicle information, the road information, the information regarding the traffic-signal change timing, and an arrival delay time for avoiding an obstacle caused by the other vehicle, when the other vehicle is determined to become the obstacle to the host vehicle.