Basic principles of constructing a convergence model for managing innovative development of the economic and social system are presented in the paper. The conceptual feature is accounting of system regularities and basic properties of the controlled object. The convergence model is focused on forming a synergetic potential of the economic and social system creating the sensitivity and its adequate reaction to synchronous and multiway managerial influence for development as per the special innovation vector. The model proposed by the authors is based on the collective effect of components (organized, information, production and intellectual) of the management system, determination of spatial-time position of the studied object, affected areas, control parameters and an interference value for stability and ability for changing of social and economic system over to the innovation trend. It was detected that its evolutionary dynamics is determined by the key factors: the existence of limits, the constant striving for the growth and hysteresis. High-priority problems of establishment were designed, and they consist in the modeling and forecasting the organization and management innovations and in arrangement of conditions for transfer to a qualitatively new trend that meets the requirements of the strategic plan.