Topological　indices　based　on　the　distances　between　vertices(atoms)　of　a　molecular　graph　are　widely　used　for　characterizing　molecular　graphs　and　their　fragments,　establishing　relationships　between　structures　and　properties　of　molecules,　predicting　biological　activity　of　chemical　compounds,　and　making　other　chemical　applications.　Polyphenyls　are　a　kind　of　macrocyclic　aromatic　hydrocarbons　and　their　derivatives　are　very　important　organic　chemicals,　which　can　be　used　in　organic　synthesis,　drug　synthesis,　heat　exchanger,　etc.　In　this　paper　we　investigate　the　relationships　between　the　Wiener　index　and　other　distance-based　topological　indices　in　the　tree-like　polyphenyl　systems　and　obtain　some　exactly　formulae　on　the　relationships.　©　2016　Elsevier　Inc.