A new fully coupled poroelastic peridynamic formulation is presented and its application to fluid-filled fractures is demonstrated. This approach is capable of predicting porous flow and deformation fields and their effects on each other. Moreover, it captures the fracture initiation and propagation in a natural way without resorting to an external failure criterion. The peridynamic predictions are verified by considering two benchmark problems including one- and two-dimensional consolidation problems. Moreover, the growth of a pre-existing hydraulically pressurized crack case is presented. Based on these results, it is concluded that the current peridynamic formulation has a potential to be used for the analysis of more sophisticated poroelastic problems including fluid-filled rock fractures as in hydraulic fracturing.