An anti-reverse clutch apparatus includes an input shaft, which is rotated by rotation force supplied to the input shaft and which is provided with a push handle, which projects radially therefrom, an output shaft, which is mounted coaxially with the input shaft and is rotatable relative to the input shaft, a clutch housing including an internal gear formed along an internal circumferential surface of the clutch housing, and a locking block, which is mounted between the output shaft and the internal circumferential surface of the clutch housing, and rotatable together with the output shaft and which includes an external gear, which is formed along an external circumferential surface of the locking block to be engaged with the internal gear, the locking block being linearly moved in a radial direction of the output shaft by a sloped surface structure formed between the push handle and the locking block so that the external gear is engaged with or disengaged from the internal gear when the push handle is rotated.