The paper describes problems in disambiguating the morphological analysis of Bantu languages by using Swahili as a test language. The main factors of ambiguity in this language group can be traced to the noun class structure on one hand and to the bi-directional word-formation on the other. In analyzing word-forms, the system applied utilizes SWATWOL, a morphological parsing program based on two-level formalism. Disambiguation is carried out with the latest version (April 1996) of the Constraint Grammar Parser (GGP). Statistics on ambiguity are provided. Solutions tbr resolving different types of ambiguity are presented and they are demonstrated by examples fi'om corpus text. Finally, statistics on the performance of the disambiguator are presented.