This book deals with an emerging nanofibre-making technology, electrospinning, the functionalities of electrospun nanofibres and their wound healing application. An important fundamental issue, fibre morphological evolution during electrospinning, is clarified. Effective techniques to improve the fibre toughness and control the surface wettability of nanofibre membrane have been developed. These functional nanofibre membranes have been used as dressing materials for healing skin wounds, and shown promising results. This work makes electrospun nanofibre membrane an ideal candidate for wound healing application.