Process for the separation of sulphur oxides from offgases, comprising the steps of passing at a temperature from 250 DEG C to 400 DEG C the sulphur oxides containing offgas through a fixed bed of a sulphur oxide adsorbent, having catalytic activity in the oxidation of sulphur oxides to sulphur trioxide and comprising supported on a porous carrier a mixture of vanadium pentoxide and pyrosulphates of one or more alkalimetals; adsorbing and converting on the adsorbent sulphur oxides to sulphur trioxide; regenerating the sulphur trioxide loaded adsorbent with air at a temperature from 500 DEG C to 650 DEG C; recirculating a part of the regeneration air to the fixed bed of the adsorbent; and finally removing desorbed sulphur trioxide in the regeneration air by hydration of the desorbed sulphur trioxide to sulphuric acid and condensing the sulphuric acid in a sulphuric acid condenser.