An ophthalmic handpiece is disclosed. The handpiece includes coaxial irrigation and aspiration needles, with passageways through the body of the handpiece for connection to conventional equipment for supplying irrigation and aspiration. Within the aspiration needle, there is a reciprocating cutting device for cutting tissue, that extends into the aspiration needle. The cutting device is moved by a driving device that rotates as it moves, to rotate the cutting device during the cutting motion. The aspiration passageway is also provided with a supply for reflux irrigation to assist in removal of tissue from the aspiration port.