The milling machine has a second machining head (26) which is arranged on a swivel arrangement (20) with a swivel axis running horizontally the transversely to the movement direction of the carriage (10). In the working position the second machining head is swivelled in front of the face side of the carriage having the first machining head (17). In the rest position the second machining head takes a swivel position with the horizontal spindle axis above the first machining head. The second machining head is fitted on a plate-like swivel flange (25).