This review article deals with a spectroscopic characterisation, including FTIR, UV-Vis-NIR and NMR, of acid and redox microporous aluminophosphate catalysts with chabasite-related structure. These materials show high thermal and hydrothermal stability, and for this reason are attractive catalysts for environmental application. An extended investigation of acid SAPO-18 and SAPO-34, which are selective catalysts in methanol-to-olefins (MTO) and oxidative dehydrogenation (ODH) of light alkanes processes, will be presented. These catalysts can also be used as supports for the preparation of metal-containing molecular sieves for De-NO, reactions. Catalytic studies of NO oxidation to NO2 and N2O decomposition performed on cobalt- and copper-containing materials will be illustrated and correlated to spectroscopic results.