This paper proposes an optimization of measurement strategy for geometric calibration of a CMM. In the calibration system, a vector of three-dimensional geometric deviations is modeled by twenty-one parametric errors on three-axes at first. Moreover a measurement strategy that solves the optimum solutions of the model is designed using two evaluation measures in second. This measurement strategy takes account of traceability of artifacts and uncertainty of measurements, so it enables to quantify the statistic reliability to the estimated parametric errors. In this study, we estimated parametric errors and calibrated the CMM in practice and made certain of the efficiency of the calibration system from ball plate measurement.