Abstract: The method is especially useful for producing rock caverns for the storage of liquids such as water and oil. The method includes intersection blasting in accordance with the sublevel stopping method for at least one drift near the bottom of the intended rock cavern to produce at least one upwardly widening part section of the cavern. The cavern is then formed to its final cross-section by excavating rock above the part section through successive drilling and blasting of rock layers. The last-mentioned drilling is fan-shaped downwardly directed drilling to obtain an essentially lentiform cross-section of the cavern above the part section.