The invention relates to the field of the production of heavy irregular steel structure, and in particular to a heavy double hyperbolic arc steel box girder production process. The process comprises the steps of at first using digital twisting machine to produce a center plate and a wing plate, using trolley type semi-automatic arc groove cutting machine to produce a groove in the hyperbolic direction, producing an arc bed-jig, assembling hyperbolic arc steel box girder, then using a total station to caliber the assembly deformation, using trolley type semi-automatic arc groove cutting machine to conduct the priming, filling and cover welding at a groove in the corner joint between the center plate and the wing plate in the hyperbolic arc steel box girder, after the welding, using a standard angle template to caliber the welded joint. The process effectively solves the problem that the traditional steel structure welding process can hardly produce the hyperbolic arc steel box girder. The process has the advantages of being smooth in cutting surface, being standard, being high in welding speed, good in welding seam quality, thus effectively ensuring the processing quality and precision of heavy hyperbolic arc steel box girder, and possessing bright promotion prospect.