Abstract: A gear grinding machine for forming spiral bevel gear teeth grinds a curved flank of a tooth in a continuously rotating bevel gear wheel. A slider carrying a grinding disk is adjustably guided on a slide reciprocating along the flank of a tooth at right angles to a guiderail along a path exceeding the maximum length of one of the teeth. The grinding disk is formed as a truncated cone, its frustoconical surface being used for grinding. It is attached to a shaft in a normal or a 180.degree. reversed position and can be positioned along the shaft toward a flank of a tooth. The slide guide rail is disposed on a rocker oscillating in dependence on the desired curvature of a tooth and a motor attached to the sled drives the shaft via a flat belt.