The utility model discloses a driving device of a mine monorail crane cogged rack. The device comprises a cogged rack (1) and a cogged rack driving unit; the cogged rack driving unit is composed of a gear (3), a rolling bearing (6), a roller (2), a baffle (4) and a hollow connecting shaft (5); the inner ring of the rolling bearing (6) is matched with the hollow connecting shaft (5), the outer ring of the rolling bearing (6) is matched with the roller (2) and is fixed by an elastic retainer ring for hole; the gear (3) is connected with the hollow connecting shaft (5) through a spline and is fixed by the baffle (4) and an open slot sunk screw; a connecting groove is formed in the cogged rack (1) and is fixed on a rail (9) through a double-screw bolt (7) and a nut (8); the double-screw bolt (7) is welded on the rail (9); and a through hole is formed in the lower end of the hollow connecting shaft (5) and is connected with a driving wheel (10) through a screw. The driving device disclosed by the utility model is simple in structure and convenient in detachment and is capable of providing a large traction force to meet the demand of complex working conditions under coal mines.