Аннотация:We have measured the radial velocities of 31 stars in the field of the open cluster IC 4756 using a correlation spectrometer on the 1.25-m telescope of the Shternberg Institute's Crimean station; the measurements were carried out between 1984 and 1988. Using published proper motions and photometric data, we have identified 17 members of the cluster among the bright red field stars, including five possible spectroscopic binaries. The radial velocity obtained for the cluster is - 25 +/- 0.2 km/sec. The features used to identify members based on proper motion and radial velocity are found to be in good agreement.