We report the discovery of five new transiting hot Jupiter planets discovered by the HATSouth survey , HATS-31b through HATS-35b . These planets orbit moderately bright stars with V magnitudes within the range 11.9 – 14.4 mag while the planets span a range of masses 0.88 – 1.22 \mjup , and have somewhat inflated radii between 1.23 – 1.64 \rjup . These planets can be classified as typical hot Jupiters , with HATS-31b and HATS-35b being moderately inflated gas giant planets with radii of 1.64 \pm 0.22 \rjup and 1.464 _ { -0.044 } ^ { +0.069 } \rjup , respectively , that can be used to constrain inflation mechanisms . All five systems present a higher Bayesian evidence for a fixed circular orbit model than for an eccentric orbit . The orbital periods range from 1.8209993 \pm 0.0000016 day for HATS-35b ) to 3.377960 \pm 0.000012 day for HATS-31b . Additionally , HATS-35b orbits a relatively young F star with an age of 2.13 \pm 0.51 Gyr . We discuss the analysis to derive the properties of these systems and compare them in the context of the sample of well characterized transiting hot Jupiters known to date .