By combining the reliability-based optimization design theory, the reliability sensitivity technique and the robust design method, the reliability-based robust design for kinematic accuracy of the planar linkage mechanism with arbitrary distribution parameters was discussed extensively. Subsequently, a numerical method for reliability-based robust design was proposed. Under the condition that the first four moments of basic random parameters are available, computer programs based on this model can be used to complete the reliability-based robust design for kinematic accuracy of planar linkage mechanism accurately and quickly. 