An enzyme biosensor system for use in the determination of fish freshness from a fish extract obtained by breaking the cell membrane of said fish, the freshness of said fish being determined by monitoring the autolytic degradation of adenosine triphosphate in fish muscles to inosine monophosphate, inosine and hypoxanthine, said system including a biosensor comprising in combination an amperometric probe having thereon a porous membrane having the enzymes xanthine oxidase and nucleoside phosphorylase co-immobilized thereon to form an enzyme electrode and a polymeric support having the enzyme nucleotidase immobilized thereon, a first portion of said extract being contacted with said enzyme electrode to electrochemically measure a value d.sub.1 =[HxR]+[Hx] from the simultaneous determination of the amount of hydrogen peroxide and uric acid resulting from the degradation hypoxanthine and inosine in said first extract portion by said enzyme electrode enzymes wherein [HxR] is the concentration of inosine and [Hx] is the concentration of hypoxanthine, a second portion of said extract being contacted with said enzyme electrode and said polymeric support to electrochemically measure a value d.sub.2 =[IMP]+[HxR]+[Hx] from the simultaneous determination of the amount of hydrogen peroxide and uric acid resulting from the degradation of inosine monophosphate, inosine and hypoxanthine in said second extract portion by said enzyme electrode enzymes and said polymeric support enzyme, wherein [HxR] is the concentration of inosine, [Hx] is the concentration of hypoxanthine and [IMP] is the concentration of inosine monophosphate, whereby the index of freshness is determined from the formula K=d.sub.1 /d.sub.2, wherein K represents the index of freshness.