The current equation to calculate the bottom water breakthrough time of heavy oil reservoir with edge and bottom water can not consider the impact of deformed medium, power law feature and starting pressure gradient. Based on the pressure sensitive property of deformed medium and the seepage theory of heavy oil reservoirs, the breakthrough time prediction model was derived for the generalized bingham fluid type of heavy oil reservoir with edge and bottom water in deformed medium. The factors including power law index, media deformation factor, starting pressure gradient and production which impact the breakthrough time were analysed. With the increase of starting pressure gradient, the bottom hole pressure is lower. The breakthrough time is earlier when the pressure difference between bottom water and bottom hole is bigger. When the power law index is increasing, the breakthrough time is prolonged. And when the media deformation factor get bigger, the time is shorten. The time comes earlier as well as the production is increasing. There is an optimal pressure draw down for the producers in deformed media, and should be considered in actual production to prolonged water free production period.