The present invention discloses a universal anti-torque screwdriver head structure integrally formed and divided into a polygonal insert end and a conical action end, and comprising a plurality of pull-push wings disposed around the action end, a stepped recessed formed between two adjacent pull-push wings and extended inwardly from an open end, and the recess having a longitudinal depth slightly greater than an action hole of a screw of a general specification, and the design of the stepped recess provides high-strength torque and tenacity and fits screws of various different specifications.