We explore the astrobiological significance of F-type stars of spectral type between F5 V and F9.5 V , which possess Jupiter-type planets within or close to their climatological habitable zones . These planets , or at least a subset of those , may also possess rocky exomoons , which potentially offer habitable environments . Our work considers eight selected systems . The Jupiter-type planets in these systems are in notably differing orbits with eccentricities between 0.08 ( about Mars ) and 0.72 . We consider the stellar UV environments provided by the photospheric stellar radiation , which allows us to compute the UV habitable zones for the systems . Following previous studies , DNA is taken as a proxy for carbon-based macromolecules following the paradigm that extraterrestrial biology might be based on hydrocarbons . We found that the damage inflicted on DNA is notably different for the range of systems studied , and also varies according to the orbit of the Jupiter-type planet , especially for systems of high ellipticity , as expected . For some systems excessive values of damage are attained compared to today ’ s Earth or during the Archean eon . Considering that the detection of exomoons around different types of stars will remain challenging in the foreseeable future , we view our work also as an example and template for investigating the combined requirements of climatological and UV-based habitability for exosolar objects .