As a part of our galaxy-cluster redshift survey, we present a set of 79 new velocities in the 4 clusters Abell 376, Abell 970, Abell 1356, and Abell 2244, obtained at Haute-Provence observatory. This set now completes our previous analyses, especially for the first two clusters. Data on individual galaxies are presented, and we discuss some cluster properties. For A376, we obtained an improved mean redshift z = 0.04750 with a velocity dispersion of σ V = 860 km s −1 . For A970, we have z = 0.05875 with σ V = 881 km s −1 . We show that the A1356 cluster is not a member of the "Leo-Virgo" supercluster at a mean redshift z = 0.112 and should be considered just as a foreground group of galaxies at z = 0.0689, as well as A1435 at z = 0.062. We obtain z = 0.09962 for A2244 with σ V = 965 km s −1 . The relative proximity of clusters A2244 and A2245 (z = 0.08738, σ V = 992 km s −1 ) suggests that these could be members of a supercluster that would include A2249; however, from X-ray data there is no indication of interaction between A2244 and A2245.