The invention provides processing equipment for a curve component and a processing method of processing equipment. The processing equipment is characterized by comprising a rack, wherein a longitudinal moving device and a transverse moving device are arranged on the rack; a transverse moving bracket is arranged on the transverse moving device; a drive device, an active device, a first driven device and a second driven device are arranged on the transverse moving bracket; the drive device is connected with the active device; one side of the active device is equipped with the first driven device; the other side of the active device is equipped with the second driven device; the active device drives the driven device to rotate through a component; and a sanding device for a cutting device isfurther arranged on the rack. The processing equipment for the curve component provided by the invention effectively solves the component processing problems that Ming-style round-backed armchair handrails are arc-shaped, sections are required to be normally circular and diameters are inconsistent, and can process the components with circular or oval sections, the components of different diametersand the components with arc-shaped or S-shaped side surfaces.