Finding the roots of nonlinear algebraic equations is an important problem in science and engineering, later many methods have been developed by using Taylor's series, decomposition, homotopy, for solving nonlinear equations [1-25]. Fuzzy numbers are foundation of fuzzy sets and fuzzy mathematics that extends the domain of numbers from real numbers to fuzzy numbers. Several researchers investigated a number of methods of numerical analysis by using Fuzzy theory. Recently, various methods have been developed for solving linear programming problems with using fuzzy number. Many research works were done on fuzzy numbers and on its applications in various field [26-34], but very few developments have been seen in the area of numerical methods using fuzzy triangular numbers. Toralima Bora and G.C. Hazarika [26], Treat the fuzzification of Newton Raphson method to find the solution of cubic equation in the form of triangular numbers along with the membership function. In this work the fuzzification of Bisection method to give the solution of nonlinear equations. Results have been obtained in the form of triangular numbers with the membership function also. These methods based on the method given by Toralima Bora and G.C. Hazarika [26], 2017. We verified the work by an example and numerical results obtained to clarify the present method.