SU(N) Fermi systems with disorder are studied within the Bogoliubov-de Gennes method for the N = 3 and N = 4 cases. In our previous work[1], we focused on the properties of systems in the weakly-disordered region and found that the spatial nonuniformity caused by disorder induces the charge-density-wave(CDW)-superfluid(SF) transition. Though it was also suggested that a transition between the SF and the Anderson localized state(AL) for N = 3 and the CDW-AL transition for N = 4 would occur even in the strongly-disordered region, the nature of each phase transition was not discussed. In this paper, we present the results which were not addressed in Ref. [1] and clarify whether each of these phase transitions is of first-order or of second-order.