The present invention relates to metalworking, in particular to producing vessels from non-heat-treatable aluminium alloys used for tanks and pressure vessels. Disclosed is a method of manufacturing a vessel, the method including: forming a tube by rolling at least one flat blank and abutting the edges thereof, friction stir welding the abutted edges and working at least a part of the welded tube into a shape of the vessel, wherein the flat blank is a sheet of a non-heat-treatable aluminium alloy preliminarily subjected to cold working with permanent deformation within the range of 0.5-15%, and said working of at least one part of the welded tube is hot working at a temperature of 230-520° C. The technical effect is a reduction in vessel weight, an increase in vessel strength, a uniform vessel strength and a reduction in the number of hot working cycles during manufacturing of the vessel. Further, the method provides reduced metal and time consumption in manufacturing a vessel from a non-heat-treatable aluminium alloy, low payload ratio, increased reliability and longer service life of the vessel produced using the method.