Core-skin bonding is improved between honeycomb and composite face sheets by applying a polyamide and/or rubber-containing adhesive to the edge of the honeycomb prior to bonding. Edge coating of honeycomb with a polyamide and/or rubber-containing adhesive is useful in further increasing the bond strength between honeycomb and prepreg face sheets, especially when the matrix resin of the prepreg is designed to adhere the prepreg to the honeycomb without the use of a separate structural adhesive.