Abstract: At present, the solution of fuzzy finite element equation consists of the following three steps: Firstly, fuzziness of parameter is introduced into finite element equations. Secondly, these fuzzy finite element equilibrium equations are cast into a set of interval equations according to a set of threshold value λ. It is then followed by the solution of the interval equations. While so far the problem of solution of interval equations has not been resolved. Consequently, the solution of fuzzy finite element equations has no efficient method. In this paper, a fuzzy coefficient programming method is combined with the quadratic equation energy-minimization of elasticity. A new fuzzy finite element solution method is developed. Numerical simulation illustrates that the method is feasible.