A machine for manufacturing bevel and hypoid gears including a column, a first spindle, and a second spindle is provided. The column has a first side and a second side. The first spindle is movably secured to the first side and rotatable about a first axis. The second spindle is movably secured to the second side and rotatable about a second axis. The first and second spindles are movable linearly with respect to one another in three directions. At least one of the first and second spindles is angularly movable relative to its respective side about a vertical pivot axis.