We report phase formation, and detailed study of magnetization and resistivity under magnetic field of MgB 2 polycrystalline bulk samples prepared by Fe-tube encapsulated and vacuum (10 -5 torr) annealed (750 0 C) route. Zero-field-cooled magnetic susceptibility (χ ZFC ) measurements exhibited sharp transition to superconducting state with a sizeable diamagnetic signal at 39 K (T c ). The measured magnetization loops of the samples, despite the presence of flux jumps, exhibited a stable current density (J c ) of around 2.4 x 10 5 A/cm 2 in up to 2 T (Tesla) field and at temperatures (T) up to 10 K. The upper critical field is estimated from resistivity measurements in various fields and shows a typical value of 8 T at 21 K. Further, χ FC measurements at an applied field of 0.1 T reveal paramagnetic Meissner effect (PME) that is briefly discussed.