A fully symmetric cutter grinding machine with 5-axis includes a grinding machine base and a pillar, sliding rails are vertically arranged on an inside of the pillar, the sliding rails are provided with a grinding wheel head bracket, the grinding wheel head bracket comprises torque motors vertically provided, a lower part of the torque motor is connected to a horizontally provided spindle by means of a bearing of a rotation table, grinding wheels rotating around an axis of the spindle are symmetrically provided at two sides of the spindle, the grinding wheel head bracket further comprises a big rotatable pulley provided at an upper part of the grinding wheel head bracket and driven to rotate by spindle motors, the big pulley is connected to a spindle pulley by a wide synchronous belt.