Various investigation have introduced different methods like Northwest corner method, Least cost method, Vogel‟s approximation to crack the transportation problem. The main aim of research article to solve the TP is a function under fermatean fuzzy environment. In this article, we introduce Geometric mean technique to resolve fermatean fuzzy transportion problem (FFTP) and an algorithm of the suggested method in presented. A numerical example is illustrated with the new technique and compare with existing method.