In　this　paper,　an　iterative　method　is　illustrated　for　solving　a　class　of　singular　perturbed　slow-fast　system　including　two　or　three　differential　equations.　By　some　techniques,　we　not　only　give　an　error　accuracy　by　differential　inequality　but　also　present　an　error　estimate　formula.　At　last,　some　typical　examples　are　given　to　illustrate　the　new　iterative　method　is　a　useful　tool.　(C)　2013　Elsevier　Inc.　All　rights　reserved.