This paper is a study about the number of edges and degree of vertices of a semitotal block and total block in fuzzy graphs. In this process, some interesting results are obtained regarding the degree of the vertices in semitotal and total blocks in fuzzy graphs. It is also observed  fuzzy graph and v be a fuzzy vertex with degree  in  then the degree of ‘v’ in total block fuzzy graph  is equal to the sum of the degree of  the vertex in fuzzy graph and the product of  is a block in  fuzzy graph containing  with minimum of the set  Moreover, it is proved that (i) the ring sum of given fuzzy graph and vertex block fuzzy graph equals to the semitotal block fuzzy graph of the given fuzzy graph. The number of fuzzy edges in total block fuzzy graph  related to block B is equal to the sum of the number of vertices in that block and the number of adjacent blocks in fuzzy graph  (ii) The degree of the vertex B in  is the sum of the degree of B in semitotal block fuzzy graph and  where  is an adjacent block to B,  in  Finally, it is proved that

 (i)

(ii)

fuzzy graph, ring sum of fuzzy graphs, semitotal-block fuzzy graph, vertex block fuzzy graph, block fuzzy graph, total block fuzzy graph.