In order to improve the design efficiency of the high-precision programmable resistance network, the physical and mathematical models of the high-precision resistance network were established, and a high-precision programmable resistance network generation algorithm was proposed. The algorithm automatically generates a high-precision programmable resistor network based on the combination of the main resistance network, compensation resistance network and offset resistance network, according to the given range and accuracy. Taking the requirement of measuring range 90~250 Ω and accuracy 5 mΩ as an example, the algorithm was simulated and verified on the MATLAB platform, and the simulation results verified the feasibility of the algorithm. The results show that the generated programmable resistor network meets the requirements of target range and accuracy, and the algorithm solution time only needs 18.128 s. Compared with the manual design, this algorithm greatly improves the design efficiency.