The new exact energy eigenvalues for new modified Kratzer-type potentials (NMKP) are calculated for a few typical (N2 and <$Etheta bar> due to (space-phase) noncommutativity, by means of the solution of the noncommutative Schrodinger equation (NCSE). The perturbation property of the spin-orbital Hamiltonian operator and new Zeeman effect of 3D system are investigated and the corresponding energy eigenvalues <$EE sub kp> (n, j, l, s) and <$Ee sub nc-kp> (n, j, l, s, m) are easily calculated from standard perturbation theory. We have shown also that, the GQG of (NC: 3D-RSP) reduce to new sub-group symmetry of NC three-dimensional real space (NC: 3D-RS) under new three-dimensional NMKP interactions.

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