This paper analyzes higher-order ruled surfaces in terms of their application in architecture and design. The possibilities of applying their characteristic segments and cuttings in the design of architectural objects, as well as the possibilities of their being multiplied and combined into more complex spatial structures are considered. The suggested design solutions should in practice enable the implementation of higher-order surfaces into the geometric forms of future architectural structures, as well as their use in different areas of design. The criteria for the selection of higher-order ruled surfaces are defined in this paper while their successful research, analysis and practical application are studied.