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The three-dimensional generalized tropical climate model with partialviscosity and damping is considered in this paper. Global well-posedness ofsolutions of the three-dimensional generalized tropical climate model withpartial viscosity and damping is proved for $\alpha\geq\frac{3}{2}$ and$\beta\geq4$. Global smooth solution of the three-dimensional generalizedtropical climate model with partial viscosity and damping is proved in$H^s(\mathbb R^3)$ $(s>2)$ for $\alpha\geq\frac{3}{2}$ and $4\leq\beta\leq5$.

Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping