Scholars mainly considered the fault as no flow closed boundary at home and abroad, when using the existing well testing interpretation models to interpret the actual reservoir well test data with finite-conductivity fault boundary, the results of which are not always ideal. Based on the theory of fluid flow in porous media, a well testing model for wells located near a finite-conductivity fault in a two-zone, composite reservoir was established. The solution considered not only fluid flow across the fault but also transient flow within the fault which had been disregarded in all previous studies. The solutions for constant production rate were obtained by the point source function and the Laplace transform techniques. Using the Stehfest numerical inversion algorithm method，the transient pressure type curves were analyzed．The result showed that the greater the value of FCD，the more concave curve. The bigger theSfvalue, the more upward curve. WhenSfis large enough, the feature of closed fault is presented.