Smarandache　initiated　neutrosophic　sets　(NSs)　which　can　be　used　as　a　mathematical　tool　for　dealing　with　indeterminate　and　inconsistent　information.　In　order　to　apply　NSs　conveniently,　single　valued　neutrosophic　sets　(SVNSs)　were　proposed　by　Wang　et　al.　In　this　paper,　we　propose　single　valued　neutrosophic　relations　(SVNRs)　and　study　their　properties.　The　notions　of　anti-reflexive　kernel,　symmetric　kernel,　reflexive　closure,　and　symmetric　closure　of　a　SVNR　are　introduced,　respectively.　Their　accurate　calculate　formulas　and　some　properties　are　explored.　Some　examples　are　also　given.　Finally,　single　valued　neutrosophic　relation　mappings　and　inverse　single　valued　neutrosophic　relation　mappings　are　introduced,　and　some　interesting　properties　are　also　obtained.