The earth is abundant in heavy oil resources. Most of it presents power law feature and oil reservoir is characterized by active edge water. Moreover, rock deformation is evident in some above mentioned heavy oil reservoirs.Edge-water tonguing is an important issue in the development of heavy oil reservoirs with deformed media and edge water.Accurately estimating water breakthrough time is helpful to the practical production.Based on the theory of fluids flow in porous media, a formula of estimating water breakthrough time which includes the effect of deformed media and power law feature is deduced.Then the real case and relative influential factors are analyzed.Results show that using this formula for the prediction of water breakthrough time of vertical well in heavy oil reservoir with deformed media and edge water is feasible. And this method is also useful for oil reservoir design and the theoretical study of such kind of reservoirs.