The deformation behavior of a layered composite material AMg2-VT1 obtained by explosion welding under optimal conditions during cold rolling is investigated. The maximum permissible compression modes during cold rolling of a layered titanium-aluminum composite material are determined. Graphs of the dependence of the microhardness of the composite material layers on compression during cold rolling are compiled. The recommended compression degrees for a specific composite material obtained by explosion welding are given in the work. The data obtained can serve as a guideline for technologists in the development of components and parts of various machines using methods of cold metalworking by pressure.