A controller of a gear cutter machining apparatus includes a rotation control unit and a movement control unit. The rotation control unit rotates a gear cutter about a central axis of the gear cutter, and rotates a grinding wheel about a central axis of the grinding wheel. The movement control unit gradually changes a crossed axes angle when relatively moving the grinding wheel in a direction of the central axis of the gear cutter, and moves the grinding wheel in a translating direction that is a rotational tangent direction of the gear cutter.
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