We　construct　the　Grothendieck　rings　of　a　class　of　2n(2)　dimensional　semisimple　Hopf　Algebras　H-2n2;　which　can　be　viewed　as　a　generalization　of　the　8　dimensional　Kac-Paljutkin　Hopf　algebra　H-8.　All　irreducible　H-2n2-modules　are　classified.　Furthermore,　we　describe　the　Grothendieck　rings　r(H-2n2)　by　generators　and　relations　explicitly.