MgB₂ bulk superconductors are synthesized by the solid state reaction of (MgB₄+xMg) precursors with excessive Mg compositions (x=1.0, 1.4, 2.0 and 2.4). The MgB₄ precursors are synthesized using (Mg+B) powders. The secondary phases (MgB₄ and MgO) present in the synthesized MgB₄ are removed by HNO₃ leaching. It is found that the formation reaction of MgB₂ is accelerated when Mg excessive compositions are used. The magnetization curves of Mg1+xB₂ samples show that the transition from the normal state to the superconducting state of the Mg excessive samples with x=0.5 and x=0.7 are sharper than that of MgB₂. The highest J_c-B curve at 5 K and 20 K is achieved for x=0.5. Further addition of Mg decreases the J_c owing to the formation of more pores in the MgB₂ matrix and smaller volume fraction of MgB₂.