We present an improved determination of the total mass distribution of three CLASH/Hubble Frontier Fields massive clusters, MACS J1206.2−0847 (z = 0.44), MACS J0416.1−0403 (z = 0.40), Abell S1063 (z = 0.35). We specifically reconstruct the sub-halo mass component with robust stellar kinematics information of cluster galaxies, in combination with precise strong lensing models based on large samples of spectroscopically identified multiple images. We use VLT/MUSE integral-field spectroscopy in the cluster cores to measure the stellar velocity dispersion, σ, of 40-60 member galaxies per cluster, covering 4-5 magnitudes to m F160W 21.5. We verify the robustness and quantify the accuracy of the velocity dispersion measurements with extensive spectral simulations, thus determining the limiting acceptable signal-to-noise and minimum velocity (σ > 80 km s −1 ) for the depth of the spectroscopic data presented in this work. With these data, we determine the normalization and slope of the galaxy L-σ Faber-Jackson relation in each cluster and use these parameters as a prior for the scaling relations of the sub-halo population in the mass distribution modeling. When compared to our previous lens models, the inclusion of member galaxies' kinematics provides a similar precision in reproducing the positions of the multiple images. However, the inherent degeneracy between the central effective velocity dispersion, σ 0 , and truncation radius, r cut , of sub-halos is strongly reduced, thus significantly alleviating possible systematics in the measurements of sub-halo masses. The three independent determinations of the σ 0 -r cut scaling relation in each cluster are found to be fully consistent, enabling a statistical determination of sub-halo sizes as a function of σ 0 , or halo masses. Finally, we derive the galaxy central velocity dispersion functions of the three clusters projected within 16% of their virial radius, finding that they are well in agreement with each other. We argue that such a methodology, when applied to high-quality kinematics and strong lensing data, allows the sub-halo mass functions to be determined and compared with those obtained from cosmological simulations.