The invention discloses an abrasive belt grinding center suitable for grinding and polishing machining of a blisk complete profile face. An X-axis feed mechanism, a Y-axis feed mechanism, a Z-axis feed mechanism, a B-axis rotary mechanism and a C-axis rotary mechanism form a feed mechanism of each grinding head. Each grinding head rotary mechanism comprises a shell, a rotary barrel, a driven synchronous pulley, a synchronous belt, a driving synchronous pulley and a grinding head rotary driving motor. According to the abrasive belt grinding center, the two grinding heads are used for reasonably distributing machining angles and feeding, roughing machining and fine machining can be achieved simultaneously through one time of clamping, combination of six degrees of freedom of space is achieved through a short transmission chain, and meanwhile, the rigidity of grinding head mechanisms and a workpiece clamping mechanism are ensured. Grinding and polishing machining of the blisk complete profile face can be achieved through combination of the double grinding heads and a robot. Contact wheels and abrasive belts of the grinding head mechanisms can cut into a narrow and small gap between vanes of a blisk, the machining efficiency can be improved greatly on the premise that the machining precision of a complex hook face and the quality of the profile face are ensured, and the management and production cost is reduced.