Abstract: The dispersion equation of linear disturbance magnetohydrodynamics equations is an algebraic equation of third power of frequency when the magnetic diffusivity is considered as a function of temperature. Developing dispersion equation with small parameter ε = u₀²/u_s², the square of disturbing velocity over sound speed, and taking the zero order approximation of e, the magnetic diffusion instability can be obtained when the dispersion equation is solved.In this paper, the influence of small flows on the magnetic diffusion instability is discussed under the first order approximation of ε. The solution appears that it does not lose the magnetic diffusion instability with the existance of small flows in the dispersion equation and there are a few influence of small flows on the area of the magnetic diffusion instability in the wave number space.