Possibilities of cross-hole a seismoacoustic tomography method for studying tightness a tire-cover of a reservoir underground storehouse of gas (USG), created in water-bearing horizont. Research cross-hole spaces for definition zones possible migration and accumulation gas outside of a trap are considered. The system of supervision used at carrying out cross-hole seismoacoustic tomography is proved, the example of revealing zones migration and accumulation gas outside from reservoir is resulted. Prospects application the given method on USG in a monitoring mode are defined.