Context : PKS 1424+240 is a BL-Lac blazar with unknown redshift that was detected at high-energy gamma rays by Fermi-LAT with a hard spectrum . At very high energy ( VHE ) , it was first detected by VERITAS and later confirmed by MAGIC . Its spectral energy distribution is highly attenuated at VHE gamma rays , which is coherent with distant sources . Several estimations enabled the redshift to be constrained to the range 0.6 < z < 1.3 . These results place PKS 1424+240 in the very interesting condition of being probably the most distant blazar that has been detected at VHE . The ambiguity in the redshift is still large enough to prevent precise studies of the extragalatic background light and the intrinsic blazar spectrum . Aims : Given the difficulty of measuring spectroscopic redshifts for BL-Lac objects directly , we aim to establish a reliable redshift value for this blazar by finding its host group of galaxies . Methods : Elliptical galaxies are associated with groups , and BL-Lac objects are typically hosted by them , so we decided to search for the host group of the blazar . For this , we performed optical spectroscopic observations of thirty objects in the field of view of PKS 1424+240 using the Gemini Multi-Object Spectrograph . After analysing the data for groups , we evaluated the probability of finding groups of galaxies by chance around the position of PKS 1424+240 , using a deep catalogue of groups . We also used photometric data from the SDSS catalogue to analyse the red sequence of the proposed blazar host group Results : We found a new group of galaxies with eight members at z = 0.6010 \pm 0.003 , a virial radius of R _ { vir } = 1.53 ~ { } Mpc, and a velocity dispersion of \sigma _ { v } = 813 \pm 187 km/s . The photometric study indicates that more members are probably populating this previously uncatalogued group of galaxies . The probability of PKS 1424+240 being a member of this group was found to be \gtrsim 98 \% . Conclusions : The new group of galaxies found at z = 0.6010 \pm 0.003 is very likely hosting PKS 1424+240 .