Modelling of processes of thermal conductivity in spatially reinforced composites with any orientation of fibres A. P. Yankovskii Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Science, 4/1 Institutskaja str., Novosibirsk, 630090, Russia E-mail: nemirov@itam.nsc.ru The model of thermal conductivity of spatially reinforced fibrous medium with a disperse reinforcement bonding agent is offered at the general anisotropy of materials a component of a composition. <...> Comparison of calculated values of effective coefficients of thermal conductivity is lead is unidirectional and is cross the reinforced composites with experimental data. <...> The satisfactory concord of calculated and experimental values of these magnitudes is shown. <...> PACS: 61.05.-a Keywords: composites, the space reinforcement, the structural theory, thermal conductivity, anisotropy the general, comparison with experiment. <...>