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 a narrow width relative to its length and twisting in a first direction about the obturator shaft axis (23) in consecutive proximal cross-sections.