This article introduces a model for incompressible, two-phase flow in a porous medium with a fracture. The model is an extension to the case of two-phase flow of the model for single phase flow described in [1]. The model is a discrete fracture model in which the fractures are treated as interfaces of dimension n - 1 but in which there is fluid exchange between the fracture and the surrounding rock matrix. The matrix domain is effected by the fracture flow through a Robin type boundary condition along both sides of the fracture, while the fracture takes into account the flow in the matrix by means of a source term representing the discontinuity across the fracture of the flux. Twophase flow is modeled using the global pressure formulation in which the unknowns are the global pressure and the wetting phase saturation; see [2]. The case of different rock types in the (n - 1)-dimensional fracture domain and in the n-dimensional matrix rock domain is considered.