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Abstract This paper studies the Cauchy problem of the 3D incompressible micropolar equations with a damping term σ | u | β − 1 u $\sigma |u|^{\beta -1}u$ ( σ > 0 , 1 ≤ β < 3 $\sigma >0, 1\le \beta <3$ ). It is shown that the strong solutions exist globally for any 1 ≤ β < 3 $1\le \beta <3$ .