HDAC6 is a protein involved in cancer, neurodegenerative disease and inflammatory disorders. To date, the full three-dimensional (3D) structure of human HDAC6 has not been elucidated; however, there are some experimental 3D structural homologs to HDAC6 that can be used as templates. In this work, we utilized molecular modeling procedures to model both of the catalytic domains of HDAC6 connected by the linker region where DMB region is placed. Once the 3D structure of human HDAC6 was obtained, it was structurally evaluated and submitted to docking and molecular dynamic (MD) simulations along with Molecular Mechanics/Generalized Born Surface Area (MM/GBSA) method to explore the stability and the binding free energy properties of the HDAC6-ligand complexes. In addition, its structural and energetic behavior was explored with each one of the catalytic domains in the molecular recognition of six selective HDAC6 inhibitors, HPOB, CAY10603, Nexturastat, Rocilinostat, Tubacin and Tubastatin A for DD2, and with the so-called 9-peptide which is DD1-HDAC6 selective substrate. The use of the whole system (DD1-DMB-DD2) showed a tendency toward the ligand affinity of DD2, CAY10603Tubacin Rocilinostat Nexturastat HPOB Tubastatin9-peptide, which is in line with experimental reports. However, 9-peptide showed a higher affinity for DD1, which agrees with experimental reports elsewhere. Principal component analysis provided important information about the structural changes linked to the molecular recognition process, whereas per-residue decomposition analysis revealed the energetic contribution of the key residues in the molecular binding and structural characteristics that could assist in drug design.