Ray　nonsingular　(RNS)　matrices　are　a　generalization　of　sign　nonsingular　(SNS)　matrices　from　the　real　field　to　the　complex　field.　A　matrix　with　positive　diagonals　is　called　a　cycle　tree　matrix　if　the　adjacency　structure　of　all　the　cycles　in　its　associated　digraph　is　a　tree.　In　this　paper,　the　ray　nonsingularity　of　cycle　tree　matrices　is　studied,　and　a　general　method　is　given　to　recognize　ray　nonsingular　cycle　tree　matrices.　(C)　2014　Elsevier　Inc.　All　rights　reserved.