The author introduces the notion of gravitational and material field energy with respect to the arbitrary time-like field and space-like hypersurface as the integral in nonholonomic hypersurface. For the case of asymptotic Minkowski space the energy functional expression is obtained in terms of the spinors associated with the differential geometric distribution. This is a development of the Witten and Nester approach. Also the non-negativeness of this functional is proved using the generalized Sen-Witten equation.