The new histone deacylases inhibitors (HDACi) were synthesized in the class of 5-membered cyclic hydroxamic acids (5-CHA), showing medium size CHA as a new Zn-binding group. New reaction sequence was proposed for the synthesis of 5-membered alkylidene-cyclic-hydroxamic acids starting from butyrolactone. Compound 10c showed low µM activity on HeLa cell extracts. From these results, cyclic hydroxamic acids will be further investigated to find more potent compounds.