In order to improve the convergence speed and positioning accuracy of the pressure gas leakage source localization method based on acoustic detection under strong noise interference, this paper proposes a wideband direction finding sparse representation model (W-SpSF) based on weighted subspace fitting (WSF) criterion. The model is combined with the bilateral correlation transform algorithm (TCT), and the covariance matrix at the focusing frequency is obtained by focusing operation. As the sparse recovery data, the DOA positioning is finally realized and the location of the leakage source is obtained. In positioning process, weighted subspace fitting is used to reduce the sensitivity of noise. In this paper, the algorithm is tested in the simulation and laboratory simulation environment respectively. The simulation results show that under the condition of adding strong noise interference, the operation speed of the algorithm is increased by 50% and the positioning error is reduced by 20% compared with the similar algorithm. In the measured environment, this paper builds a sound source positioning system of 8-element acoustic sensor array, which can realize positioning for the simulated leakage of gas cylinders, and the leakage source positioning speed is fast, which proves the feasibility of the algorithm in the actual environment.