Abstract: Bundle adjustment is one of the main tools used for multiple view reconstruction. It seeks to refine the estimation of the 3D scene and the visual parameters. The main drawback of this technique, due to nonlinear optimization, is its large amount of computation. To solve the problem, we propose a linear resection-intersection bundle adjustment method (LRI) for photogrammetric bundle adjustment. The method refines linearly the projection matrices and the space points alternately and the jointly optimal estimations are finally obtained. Important features are that (i) the original cost function is preserved and (ii) the method is linear. The method has been tested with simulated data and the results demonstrate its accuracy and efficiency.