The purpose of the research was to carry out a critical analysis of the structural and technological design of the process of incineration of municipal solid waste» (MSW). Data on the volume of solid waste generation in the world, Ukraine and Kyiv are given, the need to improve ways of effective solid waste management, in particular their disposal, is shown. A classification of furnaces and furnaces for solid waste burning has been developed. Designs of the specified technological equipment were analyzed depending on the power (productivity), the nature of the MSW incineration process over time, the possibility of movement in space, as well as the mechanism of the incineration process. A critical review of the most common designs of furnaces and furnaces, including layer, rotary, fluidized bed, cyclone, shaft, with a liquid melt bath, as well as floor furnaces and furnaces, is performed. A critical review of the most common designs of furnaces and furnaces, including layer, rotary, fluidized bed, cyclone, shaft, with a liquid melt bath, as well as floor furnaces and furnaces, is performed. This review is primarily based on a critical analysis of scientific and technical sources of information and, above all, patent information of the leading countries of the world, since it is the patent documentation that provides information on innovative developments in the relevant field of engineering and technology. Analysis of the current state and prospects for the use of furnaces and furnaces for MSW incineration shows that the appropriate technological equipment for MSW incineration, as one of the simplest and most effective for obtaining thermal and/or electrical energy and disposing of waste, will be used for solid waste processing for a long time to come. The main efforts are aimed at creating high-performance universal energy-efficient equipment, characterized by low material consumption, ease of maintenance and low negative impact on the environment and human health. Bibl. 62, Fig. 17.