The invention disclose a production process for melting blister copper in a bath by side-blowing of oxygen enrichment and special apparatuses thereof, the process comprises the steps of melting concentrate of copper, diluting the slug and air refining copper matte, which is to say, adding the material comprising copper, quartz, limestone and fine coal into the furnace of bath and blowing the highpressure oxygen enrichment air into the furnace, the formed copper matte, slug are ceaselessly flowed into a diluting electric furnace, manufacturing acid after recycling waste heat by smoke gas at high temperature; overheating the slug through an electrode and separating the slug from copper matte to obtain the diluted slug and copper matte which is fed into the continuously-air-refining furnacethrough a chute slipway; reacting the copper matte with arenaceous quartz under the effect of compressed air to obtain the blister copper, performing mineral dressing to the air-refined slug, manufacturing the acid with SO<2>; the invention has less process investment, high heat utilization rate, low energy consumption, good effect of environmental protection, compact apparatus structure, small occupied area, great processing ability, light sticking in air flue, simple operations, diverse measures in adjusting the condition of furnace which is easy to control, high level of mechanization and low labor intensity.