Aiming at the problems inherent to existing targeting algorithms, such as complicated calcula. tions, poor accuracies, and lack of fault tolerances for outliers when solving for the target position using multiple sets of theodolite angle measurement data, a new type of fusion fault-tolerant positioning method based on the shortest distance sum was proposed. By using the sum of the shortest distance method to fuse data from different devices, the fault-tolerant algorithm designed in this study could still obtain the target position, which was mostly unaffected by outliers in the measured data, thereby ensuring the reliability of the positioning results. Simulation results show that the proposed method exhibits a good fault tolerance for the measured data, i. e., when the measurement data are normal, the location result reaches the mini. mum sum of distances, and when the measurement data contain isolated outliers or speckle outliers with a length of less than 3, it can ensure that the positioning results are still reliable and mostly unaffected by out. liers without prior repair. The fault-tolerant location algorithm based on the sum of the minimum distances not only makes full use of the effective measurement data information, but also carries out positioning cal. culations without an outlier detection, ensuring that the positioning results are not distorted. This has im. portant engineering value for real-time and reliable positioning of dynamic targets.