This paper investigates the three dimensional tropic climate equations with fractional diffusion and nonlinear damping. The global exixtence and unique strong solutions of the tropic climate equations have been build under the assumption that initial data $(u_0,v_0,\theta_0)\in H^1(\R^3)\times H^1(\R^3)\times H^1(\R^3)$ with $\alpha>1, \max(1,\frac{p+4}{2p})<\beta, \gamma<1+\frac{3}{p+1}$ and $p,q > 3$.