Linear dynamic and nonlinear steady-state curving analyses have been performed to investigate the hunting and curving behaviour of cross-braced trucks. The effects of interaction between cross-braced stiffness and suspension parameters on hunting stability and curving performance have been clarified. As a result, it has been analytically confirmed that cross-bracing improves hunting stability and curving performance. Moreover, optimum suspension parameters, which provide considerable improvement in both hunting stability and curving performance, are assessed.