The invention relates to an automatic-deviation-rectification, constant-speed and constant-tension rewinding machine. A magnetic powder brake and a cantilever unwinding inflation shaft are mounted on a rack; an unwinding membrane passes through an unwinding force sensor roll and an unwinding guide roll, and is delivered into a membrane processing device to form an unwinding tension control device; a screw rod sliding table and a stepping motor are fixed on the rack; a variable frequency motor, a magnetic powder clutch and a cantilever winding inflation shaft are fixed on the surface of the screw rod sliding table; a winding membrane sequentially passes through a photoelectric position sensor, a winding force sensor roll and an encoder roll, and finally passes into the membrane processing device to form a device for controlling winding tension, winding speed, deviation rectification and the like; and an unwinding force, winding force and deviation rectification controller with a program-controlled preset value is utilized to control constant tension of the membrane, and to rectify deviation automatically. The programmable logic controller (PLC), a frequency converter and the variable frequency motor are arranged to control the transmission of the membrane at the constant speed. The machine achieves multifunctional control, solves the problems of high stress deformation, non-uniform viscosity, the deviation and the like, is high in quality and efficiency, simple, reasonable in design, and convenient to operate and maintain, and is particularly applicable to rewinding of a polytetrafluoroethylene adhesive tape coil.