This article will present a grammatical aunalyser, disambiguator and dependency analysis of Tokelau. The grammatical analyser is written as a finite-state transducer (FST), whereas the disambiguator and dependency analyser are written in Constraint Grammar (CG), both within the GiellaLT infrastructure. Contrary to most languages analyzed within this framework, Being a Polynesian language, Tokelau is a predominantly isolating language, with reduplication and affixation as the main morphological processes. The article will discuss how FST and CG deal with Polynesian languages.