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The fluid flow at a constant rate from both an infinite reservoir and a finite reservoir into a line source well were considered. Analytical solutions of the partial differential equation that governs the transient flow of fluid through a fractal reservoir were given by using the Laplace transformation and the property of the Bessel function for an infinite reservoir and finite circular reservoir. A large-time approximation solution for an infinite reservoir was also studied. Pressure transient behavior of fluid flow in fractal reservoir was analyzed by using analytical solution. Typical pressure curves were shown. An example was analyzed by using a large-time approximation solution for an infinite reservoir, and fractal parameters were obtained by employing oil reservoir description.