The AMPLITUDE MODULATION of three-dimensional (3D) dust ion-acoustic wave (DIAW) packets is studied in a collision less magnetized plasma with inertial positive ions, super thermal electrons and negatively charged immobile dust grains. By using the reductive perturbation technique, a 3D-nonlinear Schrodinger equation is derived, which governs the slow MODULATION of DIAW packets. The latter are found to be stable in the low-frequency (w < wc) regime, whereas they are unstable for w > wc, and the MODULATIONal instability is related to the MODULATIONal obliqueness (q). Here, w(wc) is the no ndimensional wave (ion-cyclotron) frequency. It is shown that the super thermal parameterj, the frequency wc as well as the charged dust impurity (0 < m < 1) shift the MI domains around the w–q plane, where m is the ratio of electron-to-ion number densities. Furthermore, it is found that the decay rate of instability is quenched by the super thermal parameter k with cutoffs at lower wave number of MODULATION (K); however, it can be higher (lower) with increasing values of m(wc) having cutoffs at higher values of K.