The economic development due to the use of start-up technologies in the management of logistics processes is investigated. The experience of leading European companies is analyzed, which is accompanied by continuous introduction of the latest smart technologies in the system of logistics process management. The basic principles of logistics of smart technologies in the system of management of logistic processes are formulated such as: system, accuracy, reliability, efficiency, security, optimization, competence, mobility, productivity, economy and efficiency. Features of smart technologies are distinguished: Smart Logistics Grid (planning, optimization, provisioning, coordination and control), Smart Transportation (creation, provisioning and control), Smart Government (provisioning and optimization), Smart City (provisioning, optimization and management decision making), Smart London (management optimization and decision making), Smart ecosystem (integrated approach), Innovate18 (security), Heathrow pod (security), Blockchain platform (security, optimization), Smart Сontracts (optimization, control), Smart Sensor (control) in the logistics management system eyes. It has been proven that automated and digitized logistic processes minimize the use of human labor and paper documents, and as a result of the implementation, in particular of artificial intelligence platforms, can: first, provide comprehensive analysis and control of the supply chain; secondly, to improve the following functional areas of logistics: information logistics, supply logistics, transport logistics, distribution logistics, marketing logistics, warehouse logistics and inventory management, and more. The following main components of the cumulative economic effect of applying a logistic approach are proposed: effective coordination; integration of logistics resources; quality and efficiency control in various areas; establishing partnerships with suppliers; reducing order processing time, downtime, production cycle and logistics costs; improving product quality; optimization of integrated management structures; improving the reliability of workflow and quality of the logistics product; updating real-time data across all links in the logistics chain; reduction of logistical risks.