The problem solution is under construction in the statement assuming performance of materials requirements simultaneously on several stress-strain properties. As controlling parameters the characteristics of the disperse-filled polymeric composition (filling degree of a composition with compact reinforcing particles, an average size of particles, and level of interactive adhesion) are accepted. Requirements to the stress-strain properties are given in the form of some range which they are to be in. The solution is made by construction in state space of response surfaces reflecting dependence of each of the given properties on controlling parameters. The set range for everyone characteristic is reflected on a surface in the form of two contour lines answering to the maximum and minimum value. And their projection on the plane of controlling parameters restricts the area to which values of proper parameters should get. Intersections of such areas define a set of the controlling parameters giving to a composition the set effective properties.