The steering performance of vehicle is directly affected by the kinematic accuracy of steering trapezoid mechanisms. Considering uncertainties that exist in steering mechanisms, the theory of kinematic time-dependent reliability is adopted to study the analysis and synthesis of the integrated mechanisms. A new method for high accuracy actual steering mechanisms design with the uncertainties is presented. Probabilistic model of kinematic error with dimension random variable is established, and analytical models of up-crossing rate and down-crossing rate for solving the time-dependent reliability of steering mechanisms are derived. A determination model and reliability model for mechanisms synthesis are built, and a numerical example are given to verify the effectively and robustness of time-dependent reliability synthesis method.