Example methods and apparatus to align threaded fasteners are disclosed herein. An example apparatus includes a socket to hold a fastener and a sensor disposed adjacent the socket. The sensor is to measure acoustic waves near the socket while the socket rotates the threaded fastener in a reverse-thread direction against an end of a threaded pin. The example apparatus also includes an electronic control unit to determine whether the fastener and the threaded pin are aligned based on the acoustic waves measured by the sensor.