Abstract: Based on IPNSGA-Ⅱ(Iterative Predictive Nondominated Sorting Genetic Algorithm-Ⅱ),this paper pro-poses a multi-objective compatible control algorithm to solve the oversaturated adjacent intersection control problem.The concepts of feeding delay and non-feeding delay is introduced,and a BPNN(Back Propagation Neural Network) method is used to set up an MIMO delay model based on the data obtained from traffic simulation environment.The control prob-lem is formulated as a conflicted multi-objective control problem,and a new IPNSGA-Ⅱ-based multi-objective compatible control algorithm is proposed to realize online control.With its robust,online and dynamic characteristics,the proposed compatible control algorithm is able to tackle the conflicted multi-objective control problem.The presented algorithm is tested in a network simulation environment consisting of 11 intersections,and the results are compared with those of the isolated control strategy.It can be concluded that the proposed method is much more effective in relieving oversaturation and reducing delay in a network than the isolated intersection control strategy.