Designed experiments were conducted to study the rheological properties of baking dough prepared from different refined wheat flour (RWF) -barnyard millet blends with varying amount of water (WA), salt and sugar. Dough was subjected to thermo-mechanical stress in Mixolab, in which rheological properties were recorded in terms of five different torques. Second order polynomial models were developed using response surface methodology (RSM) to understand the effect of input variables (WA, barnyard millet, salt and sugar; all expressed as per cent of base flour) on torques recorded by Mixolab. Optimum values of input variables were obtained with constraints based on torque values which represented the qualities of acceptable bread dough. The models predicted that a dough with 57, 26, 1.8 and 3.3% of water, barnyard millet, salt and sugar, respectively, can be used for bread baking purposes.