Disclosed herein is a path planning apparatus and method of a robot, in which a path, along which the robot accesses an object to grasp the object, is planned. The path planning method includes judging whether or not a robot hand of a robot collides with an obstacle when the robot hand moves along one access path candidate selected from plural access path candidates along which the robot hand accesses an object to grasp the object, calculating an access score of the selected access path candidate when the robot hand does not collide with the obstacle, and determining an access path plan using the access score of the selected access path candidate.