The results of micro-structural and detailed magnetization studies are reported here for our recently published TbSr2Cu2.7Mo 0.3O7+δ superconductor with a transition temperature (Tc) at as high as 80K [V.P.S. Awana, A. Gupta, H. Kishan, E. Takayama-Muromachi, T. Watanabe, M. Karppinen, H. Yamauchi, S.K. Malik, W.B. Yelon, V. Ganesan, A.V. Narlikar, Solid State Commun. 129 (2003) 117]. From XRD and EDX the sample was confirmed to be of single-phase and possess the nominal cation stoichiometry. The SEM images showed well-developed grains for this ceramic high-Tc superconductor. Magnetization measurements at various temperatures and fields revealed bulk superconductivity below 80 K. Magnetization versus applied field (M vs H) loops at various temperatures below the Tc exhibited clear full penetration field HP. In normal state (>100K) the susceptibility follows the Curie-Weiss behavior with an effective paramagnetic moment of 9.83 μB.