In this paper, the multicast protection problem on elastic optical networks (EONs) for the single link-failure case is studied. The segment-based protection is used as the multicast protection scheme and two algorithms are proposed to solve this problem, they are Low Spectrum First Segmented Protection Algorithm (LSF-SPA) and K-Tree Segmented Protection Algorithm (KT-SPA). The proposed algorithms are also extended to solve the survivable multicast problem on EONs with regenerators. The simulation results for static and dynamic multicast requests show that the blocking ratio (BR) and resource utilization ratio (RUR) of KT-SPA and LSF-SPA are better than the other conventional methods.