In　this　paper　we　study　polynomial　normal　forms　and　smooth　(C-infinity)　classification　of　one　kind　of　diffeomorphisms　which　have　infinite　many　resonant　relations　but　are　finitely　determined.　We　derive　a　complete　list　of　normal　forms　of　all　such　germs　with　arbitrary　degeneracy　of　their　nonlinear　parts.　(C)　2013　Elsevier　Inc.　All　rights　reserved.