The invention is directed towards a bladeless obturator (18) for wedging through muscle fiber layers (41, 43, 45) to safely cut through to the abdominal cavity (32) in order to apply a cannula (12). The invention comprises a bladeless obturator (18) having a tip (63) with a cross-section having the general configuration of a geometric shape with at least one line, wherein the at least one line rotates about an axis of the obturator in progressive proximal cross-sections.