Although proper motion measurements provide two components of the space velocity, the third one being given by radial velocity measurements, the proper motions of stars in globular clusters have not yet been intensively used in the studies of the internal dynamics of these stellar systems. This is because the small size of space motions of stars in globular clusters has made their proper motions difficult to measure with the required precision. We briefly review hereafter (i) the different astrophysical problems related to globular clusters which would benefit from the knowledge of stellar proper motions, (ii) the main outputs from studies using stellar radial velocities, (iii) the quality of the existing proper motions, (iv) the few programs of measurement of proper motions in globular clusters with the WFPC2 camera on board the Hubble Space Telescope, and (v) the proper motion capabilities of the ESO-VLTI program.