PROBLEM TO BE SOLVED: To provide a processing method for cutting a ferrous material into a mirror surface with elliptic vibration cutting processing, especially ultrasonic elliptic vibration cutting processing.SOLUTION: An elliptic vibration cutting processing method for processing a flat surface or free-form surface on a cutting object material 11 by elliptically vibrating a tip 14 of a cutting tool 10 relatively to the cutting object material 11 performs the elliptic vibration cutting processing by making the cutting direction of the cutting tool 10 and the rolling direction of the cutting object material 11 substantially vertical to each other. As the cutting tool 10, any cutting tool among a single crystal diamond coated tool, a nano-polycrystalline diamond coated tool and a polycrystalline diamond coated tool can be used.SELECTED DRAWING: Figure 5
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