Embryos propagated from vegetative organs can maintain the excellent characteristics of the ortet tree and can make full use of the advantages of somatic embryogenesis technology in the large-scale clonal propagation of forest trees. However, in forest trees, a major obstacle to reproducing seedlings through somatic embryogenesis is the challenge of inducing somatic embryos using vegetative organs as explants. In this study, we have successfully developed a procedure to induce somatic embryogenesis (SE) in adult hybrid sweetgum trees for the first time. Leaves, petioles, and stem segments isolated from test-tube seedlings of three genotypes of hybrid sweetgum trees were used as explants to induce SE. The induction of SE was significantly influenced by genotype, explant type, and medium composition. The highest induction and proliferation efficiencies were achieved using a modified Blaydes’ medium supplemented with 1.0 mg/L 2,4-D and 0.5 mg/L 6-BA. Mature somatic embryos were obtained in media without plant growth regulators (PGRs). Among the three genotypes, only FX-12 failed to induce somatic embryos in all the explants. Petiole explants of FX-2 yielded 22 somatic embryos per gram. In FX-54, somatic embryos were induced from both leaf and petiole explants. The PGR concentration in the germination medium significantly affected the efficiency of somatic embryo germination, with the best germination results observed in modified Blaydes’ medium containing 0.5 mg/L 6-BA. This procedure resulted in over 60% of somatic embryos developing normally into plantlets. This study develops an SE system using vegetative organs as explants for the first time, providing technical support for large-scale asexual propagation and molecular breeding in hybrid sweetgum.