Walnut is one of the important products in Kerman province and Baft town is the main area of ‎walnut orchards. So the technical, allocative and economical efficiency of walnut farmers computed ‎assign the degree of farmer’s success in the optimum allocation of their resources. At first the ‎proper production function was estimated, and then stochastic frontier production and technical, ‎efficiency was estimated. Using principle of Duality, stochastic frontier cost functions were ‎computed from stochastic frontier production function and economical efficiency was computed. ‎Allocative efficiency was estimated with regard to economical and technical efficiency. The results ‎show that average technical, allocative and economical efficiency in Baft are 62,‎‏ ‏‎67 and 41 percent ‎respectively.‎