The character of the galaxy motions in three observed samples of galaxy triplets is studied using data on the radial velocities and relative positions of the components in the plane of the sky. These three samples are very different with respect to the compactness of the triplets. We demonstrate an isotropic distribution of the velocities of the components for the 45 triplets from the list of Karachentseva et al. that are probably physically associated, as well as for the 50 triplets from the Catalogue of Southern Galaxy Groups. For the 40 triplets from the galaxy groups of Huchra & Geller, both isotropic systems and collapsing (or expanding) systems are possible