Finding the technological mode of cold drying process of carrot product was the major aim of this study. The experiments were carried out according to experimental plannings. Results obtained were to build the multi-objective optimization problem to describe relationships between objective functions with technological factors (temperature of moisture condensation, temperature of cold drying chamber, velocity air (or drying agents) and time of cold drying) of cold drying process of carrot product. By the Restricted Area Method (RAM), solving the multi-objective optimization problem was found out the technological mode of the cold drying process of carrot product as follows: temperature of moisture condensation was Z_1^(opt) = 15.62°C, temperature of cold drying chamber was Z_2^(opt) = 35.79°C, velocity air (or drying agents) was Z_3^(opt) = 11.74m/s and the time of cold drying process was Z_4^(opt) = 16.05h. Corresponding to these optimal factors, the objective functions reached the minimum value in terms of the final product, including the energy consumption of y_(1P)^R = 1.62kWh/kg, the residual water content of y_(2P)^R = 4.52%, the anti-rehydration capacity of y_(3P)^R = 6.43% (Correspondingly IR = 93.57%) and the loss of total β-caroten inside carrot of y_(4P)^R = 4.45%.