To obtain a baked vessel, hardly broken by repeated thermal shock, by a method wherein ceramic fibers, whose aspect ratio and the difference of thermal expansion coefficient from that of an inner layer are specified values, or the mixture of ceramic fibers and sintered materials is fixed to the outer surface of the inner layer made of a fine ceramic of specific porocity through sintering.

A block type formed body is obtained through static hydraulic pressurizing molding of alumina material and, thereafter, machining is applied to produce a bottomed vessel while the vessel is burnt at 1600°C for 5 hours, for example, to obtain a required sintered body. Then, the sintered body is employed for an inner layer 1 and paste, obtained by mixing about 20 pts.wt. of feldspathic material and about 80 pts.wt. of alumina based ceramic fibers (aspect ratio of 20 or more), whose difference of thermal expansion coefficients at a using temperature zone of 18°C-1000°C between the inner layer 1 is within 10% or less and, further adding water and mixing, is applied and dried on the outside of the inner layer 1. Subsequently, burning, retained for one hour at the temperature of about 1350°C, is effected to form an outer layer 2 whereby a required sintered vessel is finished.