Abstract: Chen and Hsueh (2009) proposed the new method to construct a fuzzy regression model which is based on distance criterion. In this work, Chen and Hsueh model was extended, where the model parameters are estimated by minimized the total estimated error, i.e., the sum of the average squared distance between the observed and estimated responses by using some α-cuts. Also three cases of the estimated coefficients were derived by using the model that the explanatory variables and response variable are Trapezoidal Fuzzy Numbers (TrFN): All of positives coefficients, all of negatives coefficients and positives and negatives coefficients. Two numerical examples are demonstrated the extension of Chen and Hsueh model. Finally, the useful conclusions are provided.