Disclosed herein are novel wavy, multi-component vascular grafts (WMVGs) with a wavy inner layer of rigid biopolymer fibers and an outer layer of elastic biopolymer fibers and a method for preparing WMVGs via electrospinning using a special assembled collector. The fabricated WMVGs closely mimic the non-linear tensile stress-strain relationship of native blood vessels and showed sufficient mechanical strength needed for implantation.