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Due to the massive popularity and spread of internet and advent of many new multimedia applications like Video Conferencing etc, the issue of multicast routing with multiple quality of service (QoS) constraints becomes more important. For Example, in order to ensure smooth playback of multimedia data, a video conference require guarantee on both end to end delay and loss probability. Artificial Immune Networks (AIN) which are algorithm developed with inspiration from natural immune system processes have been used to solve various kinds of real life processes with success. Opt-aiNet algorithm, an immune network algorithm designed for optimization, works mainly on the principle of clonal selection and antibody suppression. This paper explores the possibility of application of opt-aiNet to solve the problem of Multicast Routing with Multiple QoS Constraints. The original opt-aiNet algorithm is further modified to make it suitable for the current problem. The performance of the modified opt-aiNet is compared with that of GA and the modified opt-aiNet is found to outperform GA in terms of convergence rate and the result obtained.