The paper presents a new multi-path routing algorithm (AOMDV-LR) based on the model of node correlation factors to solve the problem of paths' interference in Ad hoc multi-path routing network. This algorithm uses the character that intermediate nodes have the ability of monitoring adjacent nodes' information of receiving packets, and combines the packets' amount of the request from adjacent nodes routing to calculate the correlation factor of each intermediate node. The aim of this algorithm is to get the minimum disjoint path of the sum of correlation factors to ensure the interference degree of the paths' data transmission is the lowest. Simulation results show the proposed algorithm can improve the packet delivery rate uncommonly, and reduce the end to end transmission delay.