This paper deals with the influence of parameters of the lateral suspension on the ride quality of railway vehicles during running on a track with lateral deviations, compared to the designing geometry. The ride quality is evaluated at speed 200 km/h, based on lateral accelerations in three reference points of the vehicle carbody. The values corresponding to these accelerations are derived from numerical simulations on a non-linear model of the vehicle with 21 degrees of freedom. The results thus obtained validate a series of features in vibrational behaviour of the railway vehicle and the possibility to improve the ride quality by the best possible selection of the suspension parameters.