An inspection technique has been demonstrated, by experimentation and numerical modelling that extensional edge waves can be used to detect and assess damage in composite laminates. Tuned piezoelectric transducers are attached to the plate edge to generate and receive ultrasonic edge waves. Variations in signals passed between transducers indicate the presence of damage and pulse-echo response enable the location of on-edge impact damage to be determined. Numerical simulations were performed to model propagation edge waves along the edges of composite plates including models with delaminations. Experimental and numerical results for edge waves that propagate through the damage region were evaluated to identify and locate on-edge impact damage in a quasi-isotropic composite laminate. The finite element models were used to study the effect of higher frequencies on signal responses from the damaged region.