A latch-bolt mechanism includes a housing, a latch-bolt, and a drive member. The latch-bolt is movable between an extended position and a retracted position, and includes a bolt body and an engaging member operable to move relative to the bolt body between an engagement position and a disengagement position and having an engaging portion. The drive member has a driving portion. When the engaging member is at the engagement position, the driving portion can be activated to contact and push the engaging portion so as to move the latch-bolt from the extended position to the retracted position. When the engaging member is at the disengagement position, contact between the driving portion and the engaging portion can be prevented.