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ersit tem 8; ac 1050 ed b lues te fr wer zed l oth modeling disordered waveguide arrays in one dimen- 1 10 596 OPTICS LETTERS / Vol. 34, No. 5 / March 1, 2009sion has been studied [13]. In particular, families of disordered lattice solitons (DLSs) were analyzed and categorized to a few classes with the same qualitative properties. In this Letter, we investigate the properties of soli-tons supported by 2D disordered lattices. We find that each family of solutions shares common proper-ties with a large number of families (forming a class). Thus, by examining typical examples from each class, one can understand the behavior of all the families included. Families of DLS originate from linear modes, which as the power increases may become less localized/delocalized owing to resonant interac-tions with the modes of the linearized lattice. Inter-estingly enough these latter modes do not have a low power threshold, in contrast with 2D solitons in peri-odic media [14]. In addition, families of highly con