Recently, the authors proposed a modified κ-ε model, applied it to flat plate boundary layer and stern flow, and improved prediction accuracy of mean flow field with longitudinal vortex. The modified κ-ε model is also applied to turbulent swirling flow in a straight pipe in order to express swirling flow more accurately. The modified κ-ε results are validated through comparisons with experiments, a standard κ-ε results, and a computational results for Nisizima-Yokoi. The conclusion is that the modified κ-ε results show some improvements of tangential velocity W and reduction of axial velocity U near the core region.