This paper argues that in the context of transformation from the linear to circular model of the economy, the issues of managing the flow of construction and demolition waste (C&DW) are becoming increasingly relevant, which is primarily due to the increase in prices for building materials, as well as resource saving and interest of stakeholders in the creation of eco-cities. The tools and methods to manage C&DW flows have been examined in the context of simultaneous ensuring the environmental and economic efficiency of the process. It is substantiated that the expediency of implementing the C&DW flow management process exists only within the framework of the system of integrated management of waste flows from construction and demolition of real estate in compliance with logistical principles and coverage of the interests of all stakeholders of the process. Tools, methods to forecast and plan C&DW volumes within IFMS have been proposed, which contributed to the construction of a model for forecasting the volume of C&DW formation and, therefore, determining the amount of total costs for the creation of appropriate technological capacities; the development of a model for assessing information risks in the process of logistics management of C&DW flows (based on solving the transport problem according to Kolmogorov's differentiated equations) and constructing an algorithm for its application, the introduction of which in practice will ensure the balancing of the interests of each stakeholder interested in the processing of C&DW; solving the problem of synthesis of reducing the cost of managing C&DW flows and reducing environmental pressure. In order to combine the goals of minimizing costs and minimizing environmental damage within the framework of SIWFM, a two-purpose dynamic optimization model is proposed, as well as restrictions on the possibility of its introduction and validation of this study's results. It is substantiated that the tools and methods of economic and mathematical modeling proposed in the current study could solve an important scientific and practical task to effectively manage C&DW flows