In the scientific work is presented the development of a method of selecting cloud computing platforms for servicing government agencies, which in future will form the Digital Government according to the Message of the President of the Republic of Qazaqstan N. Nazarbayev to the people of Qazaqstan «Qazaqstan way - 2050: Unified goal, common interests, common future». And also in the article are considered forecasts of growth and the development of cloud services in various countries, including Qazaqstan. Based on the results of research of company «Boston Consulting Group» (BCG), reflected in the article «Qazaqstan on the way to the digital economy», according to the level of digitalization the economy of Qazaqstan occupies the 50-th ranking of 85 governments and is in a group with emerging digital economy. The digital divide between the leading governments and the lagging countries is increasing from year to year; therefore, the article reflects one of the ways to develop the digitalization of Qazaqstan's economy. Descriptions and characteristics of various companies included in the international rating of Cloud100 are described as the most successful and competitive companies in the world on cloud technologies. All companies from this list are distributed as the top 20 companies for PaaS services. A criterion for selecting companies of cloud services is proposed, taking into account international and national ICT requirements. The web-portal (www.cloud.kz) was developed to assess the quality of cloud services from various companies of the world, which are working on cloud-based services. The analysis of the introduction of cloud services in Qazaqstan, and their advantages, and benefits for the public sector was made. For the cloud-based service of the module PaaS are selected the most optimal and suitable companies from the Cloud100 list.