In the application of airborne single-observer passive wireless radio frequency injection location, both the observation vector and coefficient matrix are noisy, the application of the typical least square (LS) algorithm will make the location estimation biased. Furthermore, such general batch processing algorithm is rather complicated and needs large amount of computation which fails to comply with the real-time requirement of passive location. Therefore, a recursive total least squares (RTLS) algorithm is proposed. At first, airborne passive bearing location model is build.Based on the above an augmented matrix made up of coefficient matrix and observation vector is introduced, then the recursive equations of the augmented inverse correlation matrix and the most right singular vector are obtained according to the properties of matrix decomposition. Simulation results show that convergence rate and location accuracy of RTLS algorithm are better than those of RLS algorithm and TWDRLS algorithm, and the real time estimation of TLS algorithm is achieved, which can meet the requirement of location.