Abstract: An improved cryogenic liquefied gas container, or a so-called cold evaporator (CE) for containing a plurality of different liquefied gases such as oxygen and nitrogen gases can be installed on a site with a limited surface area and can store the gases at a substantially equal and constant temperature level to ensure a stable gas supply to consumers that may include medical facilities and manufacturing plants. A plurality of inner tanks 4 are vertically arranged and surrounded by an insulation layer 3 in an outer shell 2 in order to economically utilize the site. The temperature of the high boiling point liquefied gas LG1 contained in the upper inner tank 4a and hence the internal pressure of the upper inner tank are stabilized by means of a heat exchanger section 11 to which the low boiling point liquefied gas LG.sub.