Peridynamics (PD) theory provides a means to investigate crack propagation behavior in solids, without the need for re-meshing the domain or other special treatments necessitated by conventional FEM approaches. As such, it has been increasing applied for modeling failure in different applications. In this work, we investigate crack propagation behavior in fiberreinforced composite (FRC) structures using a Peridynamics approach that builds on finite element method (FEM) solution kernels. The PD bonds representative of the composite are modeled as truss elements which takes into account the corresponding fiber/matrix micromechanics in definition of its constitutive behavior. The PD-FEM framework is implemented using a commercial FEA package ABAQUS, via custom defined application programming interface (API). Subsequently, we employ it to investigate crack propagation behavior in 3D composite structures subject to various types of loading conditions. Crack propagation simulations are performed on 3-D composites with fibers oriented in different directions per ply (unidirectional fiber lay-up within each ply) and multidirectional composite (woven, multiply). The developed framework is able to predict crack propagation behavior based on applied loading conditions and nature of pre-existing defects. A comparison between simulated results and available literature data is also undertaken.