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In this article, the authors consider the commutators of strongly singular Calderón-Zygmund operator with Lipschitz functions. A sufficient condition is given for the boundedness of the commutators from Lebesgue spaces Lp(Rn){L}^{p}\left({{\mathbb{R}}}^{n}) to certain Campanato spaces Cp,β(Rn){C}^{p,\beta }\left({{\mathbb{R}}}^{n}).