By now, observations of exoplanets have found more than 50 binary star systems hosting 71 planets. We expect these numbers to increase as more than 70% of the main sequence stars in the solar neighbourhood are members of binary or multiple systems. The planetary motion in binary star systems depends strongly on both the parameters of the stellar system (stellar separation and eccentricity) and the architecture of the planetary system (number of planets and their orbital behaviour). In case a terrestrial planet moves in the so-called habitable zone (HZ) of its host star, the habitability of such a planet depend on many parameters. A crucial factor is certainly the amount of water. We present here a statistical study to assess the water transport of icy bodies to the habitable zone for various binary system characteristics (binary separation, eccentricity and stellar star type of the secondary). We aim to highlight the most efficicient systems for the migration of asteroids located beyond the snow-line to the habitable zone and therefore, the water delivery into planets.