The invention discloses a left and right convex-mold die-forging process, which comprises an upper concave mold, a lower concave mold, and a multidirectional die-forging oil press, further comprises a left convex mold and a right convex mold. The process comprises the following steps of step A preheating the upper concave mold, the lower concave mold, the left convex mold and the right convex mold by using a heater; step B placing a forged-piece material in the lower concave mold, and introducing a low pressure into the multidirectional die-forging oil press to enable the upper and lower surfaces of the forged-piece material to be positioned and molded; step C continuously introducing a high pressure into the multidirectional die-forging oil press to enable the upper concave mold to be pressurized and kept to be pressed with the lower concave mold; step D then introducing a medium pressure into the multidirectional die-forging oil press to enable a convex-mold body to be pressed into the forged-piece material to finish the die pressing, positioning and molding of the left and right lateral surfaces of a forged piece; step E sequentially removing the medium pressure and the low pressure of the multidirectional die-forging oil press, and taking out the forged piece to obtain a finished-product forged piece. The left and right convex-mold die-forging process has the advantages of simplicity and rapidness in operation, good applicability and strong practicability, and the molding of the forged piece in a complicated structural shape can be effectively finished, so that the utilization ratio of the material is markedly increased, and the forging cost is lowered.