Abstract: This paper presents the approximate analytical salutions of transient pressure of non-Newtonian power-law fluid in a vertically fractured well. The results of a special case of our approximation solutions and these obtained by using published numerical simulation techniques are in good agreement. The log-log diagnosis graph of the pressure may be divided into early bi-linear flow stage i.e. the dimensionless well pressure difference pw is proportional to dimensionless time, t_D1/4, interporosity-flow stage and late pseudo-radial flow stage i.e. pw proportional to t_D^(1-n)/(3-n). The structure and meaning of the approximate formulas for vertically fractured well in reservoir with double porosity is simple and obvious.