A travel safety apparatus for a vehicle includes: a first object detector having a first detection area defined by a first detection angle; a second object detector having a second detection area defined by a second detection angle; a motion state determination unit; a collision determination unit determining whether there is possibility of collision of an object detected in at least one of the first detection area and the second detection area to the vehicle based on the motion state; a controller controlling the vehicle so that a collision is avoided; and an object identity determination unit determining whether the first object and the second object are identical, wherein when a first object detected in the first detection area and a second object detected in the second detection area are determined identical, the collision determination unit determines whether there is possibility of collision of the first object to the vehicle.