A slide rail stopper having anti-opening and self-closing functions is installed on the storage box of a daily necessity such as a washing machine, a refrigerator, a cabinet or a desk so as to enable the storage box to be smoothly opened and closed. In the slide rail stopper, a housing has an elastic member inserting recess, a hinge pin, and a fixed rail coupling hole. An elastic member, into which a coil spring is inserted, is installed in the elastic member inserting recess. A rotary member having a holder is coupled to the hinge pin at the front of the elastic member inserting recess. A bracket protrudes from one side of the fixed rail, and is inserted into the fixed rail coupling hole.