PURPOSE: To facilitate rail bracket fitting work at an installation site and also makes adjustment easy with an enlarged distance adjusting range between the inner wall of an elevation path and a guide rail.

CONSTITUTION: Either one of the horizontal pieces of a rail side fitting 11 and a wall side fitting 10 mounted to the inner wall of n elevation path is fitted rotatably with a locking piece 12 for engagingly holding the other fitting horizontal piece between one horizontal piece and this locking piece 12, and an inclined face 12a inclined circumferentially is formed at the face, engaged with the other fitting horizontal piece, of the locking piece 12.