The invention discloses a solid copper material processing method and an apparatus thereof. In the step of feeding and melting, a feeder is utilized to feed solid copper material into a shaft furnace which is at least 16 meters high, and the solid copper material is molten into molten copper; and the molten copper automatically flows into a refining furnace via a connecting chute between the shaft furnace and the refining furnace, and is refined. Refining includes the steps of oxidation and reduction. The method utilizes the height of the shaft furnace to constantly heat the solid copper material in the process of emitting high-temperature flue gas, the temperature of the finally emitted flue gas is only 250DEG C, consequently, the residual heat of the flue gas is sufficiently utilized, the heat efficiency is increased, energy consumption is reduced, and the melting speed is increased. The invention also discloses a solid copper material processing apparatus, which adopts the combination of the shaft furnace and the refining furnace and sufficiently utilizes the characteristics of the shaft furnace and the refining furnace, i.e. high melting speed, high mechanization and automation degree, safe operation, flexible furnace body size, good environment protection effect and low fabrication cost, and the apparatus is particularly applicable to the processing of solid copper material in large and medium waste copper recovery smelteries.