The h-BN monolayer, also known as "white graphene", has extremely comparable physical and chemical properties with graphene . Particularly, the 2 hybridized covalent bonds between C atoms in graphene and B-N bonding in h-BN makes both materials mechanically strong and stable. However, the fluorination in h-BN makes the B-N bonding 3 hybridized, which distorts the planar geometry , the mechanical response of fluorinated h-BN monolayer, FBNF, is interesting to study.