The present invention discloses a system and method for continuously producing a nickel-cobalt-manganese precursor. A system for continuously producing the nickel-cobalt-manganese precursor comprises:a mother reaction kettle, wherein the mother reaction kettle is connected with a metal salt solution inlet pipe, a liquid alkali inlet pipe, a complex solution inlet pipe, and the mother reaction kettle is further provided with a discharge port; a concentrator or a centrifuge connected to the discharge port of the mother reaction kettle, wherein the concentrator or the centrifuge has a pluralityof sub-reaction kettles connected in parallel; each of the sub-reaction kettle is also connected with a metal salt solution inlet pipe, a liquid alkali inlet pipe, and a complex solution inlet pipe, and each of the sub-reaction kettle is provided with an overflow port. The system solves the problems of low utilization rate of the liquid alkali and the complex agent existing in conventional production systems, and solves the problems of insufficient production stability.