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Context: Open clusters (OCs) are widely used as test particles to investigatea variety of astrophysical phenomena, from stellar evolution to Galacticevolution. Gaia and the complementary massive spectroscopic surveys areproviding an unprecedented wealth of information about these systems. Aims: TheOpen Cluster Chemical Abundances from Spanish Observatories (OCCASO) surveyaims to complement all this work by determining OCs accurate radial velocitiesand chemical abundances from high-resolution, R$\geq$60\,000, spectra. Methods:Radial velocities have been obtained by cross-correlating the observed spectrawith a library of synthetic spectra which covers from early M to A spectraltypes. Results: We provide radial velocities for 336 stars, including severalGaia Benchmark Stars and objects belonging to 51 open clusters. The internaluncertainties of the derived radial velocities go from 10 m/s to 21 m/s as afunction of the instrumental configuration used. The derived radial velocities,together with the Gaia proper motions, have been used to investigate thecluster membership of the observed stars. After this careful membershipanalysis, we obtain average velocities for 47 open clusters. To our knowledge,this is the first radial velocity determination for 5 of these clusters.Finally, the radial velocities, proper motions, distances and ages have beenused to investigate the kinematics of the observed clusters and in theintegration of their orbits.

OCCASO IV. Radial Velocities and Open Cluster Kinematics