This study presents an application of peridynamics to predict crack initiation and propagation in notched fiber reinforced composites under cyclic loading. In order to account for bending deformation, the bond-based peridynamic approach is modified based on Euler- Bernoulli beam theory. The fatigue model utilizes G-N curve and da/dN data from standard Double Cantilever Beam (DCB) and End Notched Flexture (ENF) tests. The fidelity of this model is established by simulating the DCB and ENF tests conducted by the Air Force Research Laboratory under the Tech Scout Project. As part of this project, the AFRL also tested open-hole composite laminates made of IM7/977-3 composites for three different layups under cyclic loads for strength and failure progression. The peridynamic predictions agree with the measured reduction in stiffness and strength as a function of number of load cycles. Also, the progressive damage predictions capture the general characteristics of the experimentally observed damage patterns.