Abstract: A method for improving the stability of reservoir rock in bottomhole zones of wells to destructive loads developing during operation of wells at oil and gas fields during operation at underground gas storages is disclosed. Prior to running of casing string in zone of contact of productive formation with its impenetrable roof it is proposed to drill or blur cone-shaped cavern with vertex facing the formation, the cavity parameters must satisfy the conditions according to the depth of the cavity counted from the well wall along the contact line of the productive formation and its impermeable roof should exceed 4 cm, and the angle between the cone generatrix and the casing pipe generatrix within the range of values from 5° up to 30°. This will increase well bottomhole zone stability to destructive loads developing in process of its operation and reduction of volumes of broken rock carried to well bore.