The asymptotic behavior of capillary gravity waves at large distances h and large times r is considered in this paper. Difficulties arise when v = h/T approaches to the minimum speed of capillary-gravity waves v0. A cubic transform of the variable of integration is used to overcome the problem and uniformly valid asymptotic expansions in terms of the Airy functions and its derivatives are presented which span three separate domains for v great than, near, and less than v0. Calculations are performed to illustrate the utility of the asymptotic results.