This study concerns the synthesis of new histone deacetylase inhibitors (HDACi) characterized by a 1,4-benzodiazepine ring used as the cap, joined through an amide function or a triple bond as connection units, to a linear alkyl chain bearing the hydroxamate function as Zn2+-chelating group. Biological tests performed in human acute promyelocytic leukemia NB4 cells showed that new hybrids can induce histone H3/H4 acetylation, growth arrest, and also apoptosis. Notably, chiral compounds exhibit stereoselective activity.