By using the new Coulomb screening model and most recent experimental results, this paper calculates the resonance reaction rates of 21Na(p,γ)22Mg. The derived result shows that the effect of electron screening on resonant reaction is prominent in astrophysical interesting temperature range. In conjunction with the experimental results, the recommended rates of21Na(p,γ)22Mg would increase at least 10%, which undoubtedly affect the nucleosynthesis of some heavier nuclei in a variety of astrophysical sites.