  This work is concerned with the Gevrey regularity and analyticity of the
solution to a weakly dissipative Camassa-Holm system. We first demonstrate the
local Gevery regularity and analyticity of this equation. Then, we disscuss the
continuity of the data-to-solution map. Finally, we obtain the global Gevery
regularity of this system in Gevery class $G_{\sigma}$ with $\sigma\geq 1$ in
time.
