We focus on the study of binary asteroids, which are common in the Solar system from its inner to its outer regions . These objects provide fundamental physical parameters such as mass and density, andhence clues on the early solar sytem, or ooher processes that are affecting asteroid over time. The present method of orbit computation for resolved binaries is based on Markov Chain Monte-Carlo statistical inversion technique. Particularly we use the metropolis-hasting algorithm with Thiele - Innes equation for sampling the orbital elements and system mass through the sampling observations. The method requires a minimum of four observations, made at the same tangent plane; it is of particular interest for orbit determination over short ars or with sparse data. The observations are sampled within their observationale errors with an assumed distribution. The sampling yields the whole region of possible orbits including the one that is most probable. .