A compound working head used in a multifunctional stone machining center relates to a mechanical equipment, and comprises working base parts, turning parts, and parts of carving and milling. The working head bases of the working base parts are of reversed L-shaped structures. The upper surfaces of the working head bases are connected with a journal bearing through a main support shaft. The journal bearing is positioned on a panel under a vertical sliding saddle mounted on the compound working head and driven by coordination between a worm and a turbine, inside surfaces of the side panels of the working head bases are connected with turning spindles of the turning parts. Positioning feed shafts and leading screw nuts are disposed on the side panels of the working head bases. An optical fiber test equipment is mounted between the main part of the carving and milling sliding saddle and the side panel of the compound working head. The compound working head in the invention can not only realize rotation index of B-axis of the base and independent rotation index of C-axis of the carving and milling head, but also facilitate both the turning working and the carving and milling head to work independently without interference.