The model of support of processes of development of intelligent decision-making support systems (IDMSS) is presented. The model contains a description of methods and tools to support the processes of development of IDMSS, the structure of the repository of decision-making methods, architecture and methodology of development of a typical IDMSS. The methodology is based on such principles: use of existing solutions, scalability, accessibility, independence from the subject area, informativeness. Adherence to these principles is ensured by the use of ontological, microservice and framework approaches, as well as approaches to rapid prototyping and methodology of flexible software development. The main methodological provisions of using the model are based on elements of Web technologies and development of information and analytical resources. The means of support of IDMSS development processes are described in detail – ontology of the field of knowledge “Decision-making support”, information-analytical resource, repository of decision-making support methods (DMS), methods of IDMSS development. As a framework of IDMSS it is offered to use an information-analytical resource which is constructed on the basis of ontology of subject area and methods of the used technology. With the help of services connected to the resource, which implement the stored DMS methods, the functionality of the developed IDMSS is provided. The language of descriptive logic is used to describe the model of complex support. Architectural solutions for which the developer and user interface are deployed in a separate container are presented. A solution for storing content and ontologies of the subject area in the repository with the organization of access through services is proposed.