The invention discloses an inclined roller type steel pipe straightening machine and an upper straightening roller pressing-down device of the straightening machine. The upper straightening roller pressing-down device comprises a driving device, spiral lifting machines, fast pressing overload protecting cylinders and a lifting beam, wherein the driving device drives the spiral lifting machines, the number of the spiral lifting machines and the number of the fast pressing overload protecting cylinders are both two, the spiral lifting machines and the fast pressing overload protecting cylinders are connected in a one-to-one correspondence mode, the spiral lifting machines and the driving device are installed on an upper beam, and the fast pressing overload protecting cylinders are connected with the lifting beam which is connected with a rotating disk. According to the upper straightening roller pressing-down device, the spiral lifting machines are in transmission connection with the fast pressing overload protecting cylinders, then the fast pressing overload protecting cylinders are connected with the lifting beam, and an upper straightening roller can be driven through the lifting beam when it is only needed that the spiral lifting machines are driven through the driving device. The upper straightening roller pressing-down device is very simple in structure, manufacturing cost is greatly reduced, an adopted transmission chain is short, fault points are greatly reduced, and maintenance is easy.