Abstract: This paper proposes a categorisation of the models used in actuarial science. It illustrates the application of that categorisation by using it to classify numerous such models. It is suggested that this categorisation, together with the illustrative classification, may be used as a typology for the classification of other such models, and that this typology may be found useful as a candidate exemplar, or as a basis for further refinement, in the discourse of actuarial science.