We report an analysis of the kinematic properties of stars in the old open cluster M67 based on proper motions taken from a master catalog made up of nine different catalogs containing proper motions of stars in the cluster field. A modified Sanders method is used to identify 511 probable cluster members. The dependence of the mean radial components of the proper motions of cluster members on clustercentric radius indicates that the cluster core is expanding with a velocity of 0.4 km/s. The radial dependence of the mean tangential components of the proper motions suggests the possible rotation of the cluster core. The dispersions of the velocity components of the cluster members show no evidence for the dominance of elongated stellar orbits in the cluster. The kinetic energy of the cluster stars depends strongly on their mass.