The invention discloses a process for plating copper on a special steel piece with a deep/blind hole, namely render copper. The process comprises the following steps of: chemical deoiling, washing with hot water, electrolytic deoiling, washing with hot water, washing with cold water, acid washing, secondary washing with cold water, neutralizing, washing with cold water, plating copper without cyanide, secondary washing with cold water, plating tin, secondary washing with cold water, neutralizing, washing with hot water, passivating, secondary washing with hot water, washing with hot pure water, dehydrating with alcohol, removing the residual water, drying and inspecting, wherein electroplate liquid used in the step of plating copper without cyanide has the following formula: 400 to 600ml/L of BH-580 non-cyanide alkaline copper cylinder plating bath solution, 1 to 2ml/L of BH-580 non-cyanide alkaline copper brightening agent and 7.5 to 12g/L of metal copper; and the pH value is 9.2 to 9.8. The process has the advantages of good stability of a plating liquid, simple and convenient operation, good dispersibility and good covering capability; the formed plating layer has the advantages of fine and compact crystallization, good adhesive force, stable and reliable production; and the method can effectively protect environment and the physical and psychological health of operators.