Abstract: In this paper, the author raise a methodology determining automatically the observation weights in GPS-supported bundle block adjustment. During iterative computation, the observation weights can be corrected automatically by using the posterior variance estimation based on a fast recursive algorithm for repeated computation of the reliability matrix Q vv P . In any case, the estimator of weights of additional parameters' observations and drift error parameters' observations are comparatively exact. However, the weights of ground control point observations, GPS camera position's observations and GPS offset observations can not be estimated exactly. The experiment has shown that a stable and reliable adjustment results are ensured even if the author selected wholly different initial weights of the observations, and the additional computation amount is acceptable.