The invention provides an anaerobic-aerobic stabilization process for high concentration organic wastewater. The process is as below: (1) wastewater is subjected to pretreatment and iron carbon micro electrolysis according to the quality and sent into a UASB anaerobic reactor for anaerobic digestion reaction; (2) UASB effluent is sent into a facultative sedimentation basin, which has the functions of an anaerobic tank; (3) liquid supernatant from the facultative sedimentation basin is sent into an SBAR aerobic reactor, wherein the sludge in the reactor is domesticated mature aerobic granular sludge, and air is introduced from the bottom of the aerobic reactor for air aeration treatment; (4) the sewage is subjected to sedimentation treatment in the aerobic reactor, and after sedimentation treatment the water flows out from a water outlet; (5) a reflux system can be set in the SBAR aerobic reactor according to quality of the outlet water, and part of the sludge in the SBAR aerobic reactor can be returned to the UASB anaerobic reactor; and (6) a reflux system can be set in the SBAR aerobic reactor according to quality of outlet mixed liquid, and part of the mixed liquid can be returned to the facultative sedimentation basin. Especially, wastewater indexes are as below: UASB inlet water preferably has COD at 1500-5000 mg / L, suspended solids less than 1500 mg / L, sulfate less than 1000 mg / L and ammonia nitrogen less than 2000 mg / L, and SBAR inlet water has COD concentration reaching 1000-1500 mg / L, ammonia nitrogen concentration less than 1500 mg / L and BOD / COD greater than 0.3.