Different optimization models presented on literature show optimization schemes over MPLS or GMPLS networks. However, it has not been showed models that optimize one or more parameters integrating these two types of networks. In this paper a multiobjective scheme for multicast transmissions from a source node to a set of destination nodes in MPLS passing through a GMPLS optical backbone is shown. Because the proposed scheme is a NP-Hard problem, an algorithm has been developed to solve the problem on polynomial time. The main contributions of this paper are the proposed mathematical model and the algorithm to solve it.