A tool head for a machine tool comprising a plurality of tool spindles with each tool spindle being rotatable about a respective tool axis. The plurality of tool spindles comprises at least a first tool spindle rotatable about a first tool axis, a second tool spindle rotatable about a second tool axis and a third tool spindle being rotatable about a third tool axis with the first, second and third tool axes being parallel to one another. The first, second and third tool spindles are arranged on the tool head whereby one of the first, second and third tool spindles faces a first direction and the other two of the first, second and third tool spindles face a second direction with the first and second directions being 180 degrees apart. The tool spindles are preferably grinding spindles on a machine for grinding bevel gear cutting tools.