A gear milling spindle box directly driven by a torque motor is characterized by comprising the low-speed high-torsion torque motor (1), a driving synchronous belt pulley axle (3), a first driving synchronous belt pulley (4), a second driving synchronous belt pulley (8), a spindle box body (9), a motor support (21), a first synchronous belt (10), a second synchronous belt (20), a disc milling cutter (11), a driven synchronous belt pulley axle (14) and a cutter bar (15). The low-speed high-torsion torque motor is directly connected with the disc milling cutter by the tensioned synchronous belts with arc teeth, a transmission path is short, and transmission efficiency is high. In addition, the tensioned synchronous belts can realize stable transmission without backlashes, nonlinear vibration of a transmission system due to fluctuating cutting load is avoided, cutting noise is lowered, surface roughness of a cut tooth surface is improved, and the risks of impact pitting corrosion of the tooth surface during gear transmission are avoided.