The article highlights methodical approaches to building a mechanism for effective management of the implementation of the lean production, as a factor in solving the problem of Russia's lag behind developed countries in productivity. The issues related to differences in the ideology of Japanese, American and Russian lean production systems, analysis of historical experience of implementation, trends and effectiveness of var-ious management options for the implementation of lean production are considered for Russia and developed countries; the reasons for the lack of efficiency of implementation in the dynamics are considered; An assess-ment of expected performance under the national project «Productivity and employment support”; methodical recommendations have been proposed to form an effective mechanism for implementing lean production based on a combination of project management and quality management.