Disclosed is a method and apparatus for machining a workpiece (2). The method comprises: specifying a path along which a cutting tool (6) is to be moved during machining of the workpiece (2), the path comprising a plurality of segments (26); defining, for each segment (26), an entry point and an entry path (32) from a point remote from the workpiece (2) to that entry point; moving a first cutting tool (6) along the tool path from a first point to a second point and machining the workpiece (2); after the first cutting tool (6) has been moved to the second point, moving the first cutting tool (6) to a point remote from the workpiece (2); moving a second cutting tool (18) along the entry path (32) of the segment (26) that contains the second point, and then from the entry point to the second point.