We present results of the study of peculiar motions of 57 clusters and groups of galaxies in the regions of the Corona Borealis (CrB), Bootes (Boo), Z 5029/A 1424, A 1190, A 1750/A 1809 superclusters of galaxies and 20 galaxy clusters located beyond massive structures (0.05 < z < 0.10). Using the SDSS (Data Release 8) data, a sample of early-type galaxies was compiled in the systems under study, their fundamental planes were built, and relative distances and peculiar velocities were determined. Within the galaxy superclusters, significant peculiar motions along the line of sight are observed with rms deviations of 652 ± 50 km s −1 in CrB, 757 ± 70 km s −1 in Boo. For the most massive A 2065 cluster in the CrB supercluster, no peculiar velocity was found. Peculiar motions of other galaxy clusters can be caused by their gravitational interaction both with A 2065 and with the A 2142 supercluster. It has been found that there are two superclusters projected onto each other in the region of the Bootes supercluster with a radial velocity difference of about 4000 km s −1 . In the Z 5029/A 1424 supercluster near the rich Z 5029 cluster, the most considerable peculiar motions with a rms deviation of 1366 ± 170 km s −1 are observed. The rms deviation of peculiar velocities of 20 clusters that do not belong to large-scale structures is equal to 0 ± 20 km s −1 . The whole sample of the clusters under study has the mean peculiar velocity equal to 83 ± 130 km s −1 relative to the cosmic microwave background.