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We compute the order alpha_s^2 correction to the matrix element of magneticpenguin operator for B meson decaying to light mesons within the QCDfactorization framework. We explicitly show that the soft and collineardivergences are canceled out, so that the validity of QCD factorization isconfirmed. We present the result of the calculation in complete analytic forms.The result is also applied to B -> K pi decays, and we find that the orderalpha_s^2 correction of magnetic penguin operator can considerably reduce thecoefficient of penguin amplitude a^c_{4,I}. The reduction is stronger for theimaginary part.

Order alpha_s^2 magnetic penguin correction for B decay to light mesons