Current turbulence models including modified $K-{varepsilon}-{ au}$ turbulence model do not predict compression effect on turbulence accurately in an internal combustion engine. The $K-{varepsilon}-{ au}$ turbulence model was suggested to improve the predictability of compression effect by We et al. In this paper a numeri-cal study was performed to clarify the applicability of the $K-{varepsilon}-{ au}$ turbulenc model to the calculation of the in-cylinder flow of an axisymmetric engine. THe results using $K-{varepsilon}-{ au}$ turbulence model are compared to those from the modified $K-{varepsilon}-{ au}$ turbulence model and experimental data. The mean veloc-ity and rms velocity profiles using $K-{varepsilon}-{ au}$ turbulence model showed a better agreement with an experimental data than those of modifid $K-{varepsilon}-e$ turbulence model.