An apparatus and a method for controlling a wiper position are provided. The apparatus to control a wiper position includes a controller to receive a wiper operation control signal output from a user input unit to control a wiper to be stopped at a desired position, a wiper motor to drive the wiper, a wiper relay switched to drive the wiper motor under a control of the controller, and a wipe sensor to sense a position of the wiper motor to transfer a position signal to the controller.