In present research paper, a Bopp's shift method and standard perturbation theory are used to find exact analytical solutions of the noncommutative 3-dimensional space phase (NC:3D-RSP) for modified time-independent Schrodinger equation of weakest bound electron potential model (WBEPM) theory for neutral indium. We have obtained the explicit higher energy eigenvalues for n<^>th excited states. Furthermore, the obtained corrections of energies are depended on the discreet atomic quantum numbers (j = l +- 1/2, [n<^>*,l<^>*) = (n + d, l + d), SSL and m), in addition to the four infinitesimal parameters (<$ETHETA , chi>) and <$Etheta Bar , sigma Bar>) which are induced by position-position and momentum-momentum noncommutativity, respectively. We have also shown that, the total complete degeneracy of higher energy level of the modified (WBEPM) theory equal the new values 2n<^>2.

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