The present invention is a gate latching system for use in securing a pair of cooperating stock gates together. A preferred embodiment of the invention employs a pair of latching devices for securing a pair of overlapping stock gates together in a closed position. An alternate embodiment of the invention is designed with an extended arm for securing a pair of stock gates closed when the stock gates do not overlap. Both pairs of latching devices are designed so that one of the latching devices is bolted to one gate and the other latching device is bolted to the other gate. Each latching device has a u-shaped receiver for receiving a horizontal member of the opposite gate. The horizontal members enter the u-shaped receivers by lifting one of the gates as the gates are being closed and are secure therein by a lid that closes over one receiver.