A Ladder fuzzy graph (LFG) is a modification of a ladder graph in which both edges and vertices have fuzzy membership values. A ladder fuzzy graph consists of two parallel fuzzy paths connected by additional fuzzy edges called rung edges forming a ladder structure. In this paper, we introduce a new graph namely ladder fuzzy graph and we have examined its order, size and degree in LFG with illustration. Further, we have explained about the different types of ladder fuzzy graphs namely open ladder fuzzy graph, closed ladder fuzzy graph, slant ladder fuzzy graph and circular ladder fuzzy graph with example. Also, we have investigated some relationship between the upper and lower rail vertex membership values, edge membership values and degree of the vertices in upper and lower rails. Also, the relation between order and size of ladder fuzzy graph are discussed.