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In this article, we establish a regularity criterion for the Navier-Stokes system with axisymmetric initial data. It is proved that if the local axisymmetric smooth solution $u$ satisfies ${\|u^\theta\|_{L^{\alpha}(0,T; L^{\beta})}}<\infty$ , where $\frac{2}{\alpha}+\frac{3}{\beta} \leq 1 $, and $3 < \beta \leq \infty$, then the strong solution keeps smoothness up to time T.