The concept and methodology for interactive design of Methods of Statement based on the use of technical and informational models, technological charts, and 3D models of construction facilities is suggested. The article presents the peculiarities and principles for the speed-up assembling (erection, disassembling) of unified modular structures, pre-fabricated block sections, their transportation and rapidly erected modular buildings. The high speed of construction is reached due to the qualitative interactive Method of Statement, logistics of sequence and completeness of information, use of BIM technologies, unconditional use of permanent quality control of works execution at all construction stages with the automatic control of accuracy as to positioning of construction structures and execution of construction and technological operations.