Space-time finite element methods for time dependent partial differential equations are based on weak formulations and Galerkin-type approximations in the space-time domain. The approach is suitable for efficient and accurate approximation of processes with features that are localized in space and time. Moreover, it allows for a unified finite element analysis of the spatial and temporal stability and numerical error. In this talk we present a method that utilizes the space-time approach in the context of domain decomposition methods for unsteady flow in fractured porous media, where fractures are treated as lower dimensional manifolds. The approach allows for different spatial and temporal discretizations in different subdomains and in the fractures. The variational formulation couples mixed finite elements in space with discontinuous Galerkin in time. A space-time non-overlapping domain decomposition method is developed that reduces the global problem to a space-time fracture interface problem, which is solved iteratively by GMRES. Each interface iteration requires solving space-time subdomain problems, which may be done in parallel. The convergence of GMRES is established by using the field-of-values analysis. Numerical results are presented to illustrate the performance of the method.