Abstract: A linear punch of unitary construction for use in transplanting hair follicles is provided. The linear punch includes an elongated oval shaped cutting edge at one end capable of cutting through scalp tissue. The cutting edge defines a hollow cavity having an outer wall structure that expands into a circular cross-section, thereby permitting an elongated oval incision to be made in the scalp of a hair transplant patient. The incision is capable of receiving hair follicles in a manner which allows the hair follicles to grow and flourish without compression or tufting. The incision also allows a surgeon to precisely fit the hair being grafted to the incisional site.