The invention discloses a stamping die with a double-cooling type forming punch, and belongs to the technical field of stamping. The stamping die is characterized in that an upper cooling cavity and alower cooling cavity filled with cooling liquid are arranged in a mold core and the punch respectively, and the upper cooling cavity and the lower cooling cavity communicate with each other through symmetrically-arranged air supply guide columns; air circularly flows between the upper cooling cavity and the lower cooling cavity through the air supply guide columns, and matching of air cooling andwater cooling is achieved, so that the cooling effect on the die is effectively improved; in addition, a magnetic attraction plate is arranged inside the punch, the bottom end of the magnetic attraction plate magnetically attracts a plurality of magnetic nitratine particles, after die assembly, water-soluble magnetism-starting trigger bodies located at the bottom ends of the air supply guide columns disintegrate when meeting water to trigger an on-off switch of the magnetic attraction plate, after the magnetic attraction plate is powered off, the plurality of magnetic nitratine particles fallinto the cooling liquid in the upper cooling cavity, and the cooling liquid is gradually cooled and partially frozen when meeting the magnetic nitratine particles; and on one hand, the cooling effectof the punch on the die is directly improved, on the other hand, a cooling effect on the circularly flowing air is achieved, and rapid cooling of the die is achieved.