The production of hassium isotopes (266-271)Hs in various reactions Ne-22 + Cf-249, Mg-25,Mg-26 + Cm-248, Si-30 + Pu-244, S-34,S-36 + U-238, Ar-40 + Th-232, and Ca-48 + Ra-226 is studied within the dinuclear system model. The experimental excitation functions of the isotopes (266-271)Hs are well described and predictions are made for future experiments.