High-speed railway transition curves have again become an important subject of traffic engineering because of high driving speeds and demands for automatic drive.First of all,the theories and geometric features of several familiar transition curves such as cubic parabola(CP),fifth degree parabola(FDP),half-wave-length sinusoidal(HS)and sinusoidal(SI)are summed up systematically in this article.Then,the results of several transition curves are listed respectively,all the results are calculated under the same conditions)with the same length,offset or maximum rate of the cant gradient.Finally,the vehicle movement dynamics performances in horizontal,longitudinal and lateral profiles are analyzed when the vehicle passing through different transition curves.As results,the variations of roll acceleration(RA)and the lateral change of acceleration(LCA)were obtained,based on which,the high-speed railway transition curve can be selected.