The invention relates to a numerical control small-modulus straight bevel gear shaper comprising a lathe bed, a rocking table assembly, a workpiece box assembly, a hydraulic system and a numerical control system. The lathe bed is provided with the rocking table assembly and the workpiece box assembly; and the hydraulic system is arranged on the two sides of the lathe bed. The rocking table assembly comprises a rocking table support, a tool holder transmission mechanism, a rocking table drum wheel, a tool holder device, a stroke adjusting mechanism, a gear shaping cutter movement main shaft servo motor, a rocking table rotating servo motor and a rocking table rotating worm gear and worm mechanism connected with the rocking table rotating servo motor and is characterized in that the tool holder device comprises a tool holder base, a ram, a tool base support, a tool base, a tool back-off movement adjusting device, a gear angle adjusting mechanism, a gear shaping tool, a tool height adjusting mechanism and a pressure angle adjusting mechanism. The numerical control small-modulus straight bevel gear shaper has the beneficial effects of being compact in structural layout, easy and convenient to adjust and operate, large in tool back-off amount, wide in adjusting range, accurate in tool back-off movement and capable of avoiding the self-locking phenomenon, improving the gear machining precision and meeting the machining requirements of high-precision small-modulus straight bevel gears.