The ESA space astrometry mission Gaia is designed to measure the positions, parallaxes and proper motions of more than one billion stars of our Galaxy brighter than 20 magnitude. The expected astrometric accuracies are in the range 7–25 μas for the point-like sources down to 15 mag. To achieve this staggering performance, several issues of highly accurate metrology must be solved and implemented on the spacecraft. In this paper, I discuss first some constraining principles to perform global astrometry in space, and then a couple of examples of the metrological issues currently faced by the design or to be encountered during the operations. One concerns the optimisation of the sky coverage with a scanning instrument like Gaia, and the other deals with the instrument stability and how the stringent requirements are met in practice.