A control method and apparatus for inhibiting slag entrapment in ladle (1) during continuous casting production. An optimal control model calculating unit (11) receives related signals and data sent by a ladle weight detector (4), a molten steel flow field detector (5), a slag detector (7), a sliding gate opening detector (9), and a process signal interface unit (10), performs calculation and analysis according to an optimal control model to obtain a corresponding optimal control strategy, and outputs the strategy to an electromagnetic brake (6) and a sliding gate controller (8) for slag entrapment inhibition control. Regarding the two processes where a vortex may be formed, by means of different optimal control strategies, which respectively inhibit or destroy the formation of a vortex, slag generation is postponed, and molten steel may flow out without bringing slag out, thereby reducing residual ladle steel and improving molten steel yield.