Spearman＇s　footrule　is　a　widely　used　tool　to　discover　the　relationship　between　two　continuous　random　variables,　mainly　because　of　its　robustness,　natural　interpretation,　and　simplicity　of　calculation.　In　this　article,　we　propose　a　new　test　statistic　based　on　the　sum　of　squares　of　pairwise　Spearman＇s　footrule,　to　test　the　mutual　independence　of　a　high　dimensional　random　vector.　The　large　sample　properties　of　the　proposed　test　method　are　established.　Simulation　results　show　that　the　new　test　has　higher　power　than　existing　test　methods　under　some　circumstances.　An　example　with　real　life　data　is　discussed　to　illustrate　the　usefulness　and　effectiveness　of　the　proposed　test　statistic.