The invention discloses a skiving cutter feeding method realizing singe-edge cutter relieving radical cutter feeding. The cutter feeding method belongs to the improvement on a tooth profile-following radical cutter feeding method. In several former times of cutter feeding of a cutter, when the cutter completes radical cutter feeding once, a workpiece does not rotate for a peripheral compensation rotating angle theta i and a cutter avoiding angle phi i; during the cutter feeding of the cutter in a next time, a cutting-out side cutter edge of the cutter is staggered for a gap with a processed tooth surface of a workpiece; the extrusion friction between the cutting-out side cutting edge and the tooth surface of the workpiece is avoided; the last one or several last radical cutter feeding of the cutter is for finish machining; single-edge cutter relieving by the workpiece is avoided, so that the processing precision of the tooth surface of the workpiece is ensured. When the multi-time radical cutter feeding is needed for gear mechining, the skiving cutter feeding method realizing single-edge cutter relieving radical cutter feeding can prolong the service life of the cutter through being compared with the tooth profile-following radical cutter feeding method.