Résumé : The kinematic analysis of 5952 K and 739 M giants in the solar neighbourhood, which includes for the first time radial velocity data from a large survey performed with the CORAVEL spectrovelocimeter, is presented. It also uses proper motions from Tycho-2 catalogue, which are expected to be more accurate than the Hipparcos ones. The kinematics of the sample restricted to the 2774 stars with parallaxes accurate to better than 20% is analyzed. The kinematic parameters of the 6030 available stars are evaluated with a Monte Carlo method. It is found that the asymmetric drift is larger for M giants than for K giants due to the fact that the M giants must be little older than the K giants on average.