In　this　study,　the　artificial　parameter　method　is　utilized　to　find　closed-form,　approximate　natural　frequencies　of　axially　moving　beam.　The　method　provides　efficient　approximate　natural　frequencies　for　the　beam　with　different　boundary　conditions.　The　validity　and　accuracy　of　the　obtained　solution　are　examined　by　comparing　with　numeric　values　and　data　found　in　the　literature.　It　is　shown　that　the　present　solution　is　valid　and　accurate　for　both　high　axial　speed　and　large　bending　stiffness.　(C)　2013　Elsevier　Ltd.　All　rights　reserved.