Cloud computing (CC) offers its unique scalable and all time available services to the user. As service provision is an important part of the Cloud computing concept, the proper choice of the needed service according to the users' needs is of most relevance. This research provides a review of Cloud service selection approach of multi-criteria decision analysis (MCDA). MCDA enables the user to choose from several available choices based on the chosen criteria. In this paper, the criteria and subcriteria for choosing Cloud services in accordance with Cloud computing service model have been analysed.