Container put under pressure, different to atmospheric pressure, for transport or storage of live fish kept at high density. Inside the container there will be input of water with any grade of salinity taking into consideration the vital characteristics of the fish which is chosen to be stored or transported. A hydraulic pump (C) works both as saturation regenerator of the oxygen diluted in the water, mixing it with gas state oxygen, or works also as to pressurize the container. The concentration of oxygen dissolved in water is increased by increasing the pressure in the hermetic container mixing it with gas state oxygen which is inserted with an entry device (A1, A2). Taking into consideration the vital characteristics of the fish, it may be possible to increase storage or transport density, taking into account a specific container working in atmospheric pressure.