We consider the problem of rational statistical control technical parameters of automatic spacecraft (AKA) in the process of their ground testing in autonomous and complex testing in a three-tier hierarchical structure: independent product testing, independent testing systems and comprehensive testing of the AKA in general. The mathematical model of control, the formalized statement of a problem and algorithm of optimization of statistical control of sets of products and their technical parameters on hierarchy of working off is given. At the same time, the model and algorithm allow you to select the optimal product range of each level of the hierarchy from the sets that are subject to mandatory control, take into account the specified requirements for technical parameters and the results of monitoring the technical parameters of the lower levels of products when planning and carrying out control of the parameters of the higher levels.
