Аннотация:The derivation of the hydrodynamic set of equations and transport coefficients which describe diffusion and heat transfer in multicomponent partially ionized gas in the presence of an external magnetic field is considered by methods of the kinetic theory of gases. It is assumed that the collisions of particles two-body and elastic, and that particles do not possess the internal degrees of freedom. What is more, an external electromagnetic field does not influence upon the collisions of particles, and there is also no effect of electrons interaction with plasma oscillations on transport coefficients. The conditions under the approximation in question is valid are known /1/.