A new procedure for constructing cryogenic storage tanks involves erecting a freestanding metal liner. The liner is sized and configured to withstand the hydraulic forces the concrete wall of the tank being poured without the need for temporary stiffeners on the inside surface of lower portions of the liner. Lateral tension ties can be connected to anchor ties on an outward surface of the liner and used to tie the liner to outer formwork. These ties may be spaced up to about 2 m apart. Studs can also be provided on the outer surface of the liner, and a cylindrical ring of cryogenic steel can be integrated into the liner.