The research paper studies the topical problem of increasing the competitiveness of modern enter-prises through the application of creative methods of innovation process management. The expediency of the use of creative methods of the innovation process management is revealed, which is predetermined by the necessity of the formation of long-term competitive advantages in the modern conditions of operation of the enterprises at the level of management tools. To achieve the goals set in the research paper, a system of general scientific and special methods of studying processes and phenomena in their interrelation and development is used, namely: system approach, methods of analysis, synthesis, modeling, systematization, grouping, logical generalization, structural and logical analysis. The research paper presents the role and place of creative management methods in an enterprise management system, which characterize the ways of influencing the management of an enterprise on the activity and interaction of employees of an enterprise involved in the creation of innovative ideas, products and solutions. The place of creative management methods as a tool for achieving the goals of providing innovation-oriented development of enterprises is grounded, which is a stable prerequisite for ensuring the competitiveness of companies in modern highly competitive innovative product markets. Recommendations for implementation of creative methods of innovation activity management of enterprises have been formed; the procedure and the main directions of the solution of existing problems of implementation of the innovation process at enterprises are proposed. The results of this research paper should be considered in the context of their importance to stimulate innovation-oriented development of enterprises, in particular, in the context of the vital need for the formation of sustainable competitive advantages under the conditions of liberalization of markets and globalization.