A latch locking apparatus for a glass door has a body, an operating member, a transmitting device and a lock device. The body has a casing with a mounting hole and a lower mounting post. The operating member is mounted in the casing and has a pulling arm, a mounting post and a first spring. The mounting post is formed on the pulling arm. The transmitting device is mounted in the casing and has a latch plate, a transmitting lever and a pulling bar. The latch plate is mounted in the casing and has a second spring. The transmitting lever is connected to the latch plate. The pulling bar is connected to the transmitting lever and has a third spring. The lock device is connected to the body and the operating member.