It has been found that aluminum, which is considered as to cause various diseases such as dialysis dementia, bone diseases, hypochromic anemia and Alzheimer's disease, would be eluted into a conventional albumin preparation preserved in a hard glass container, which increases the aluminum concentration of the preparation. According to the present invention, it has been found that the substitution of the conventional hard glass container with a soft glass container dealkalized by, for example, treatment with sulfurous acid gas or ammonium sulfate solution for preserving an albumin preparation can make it possible to prevent the elution of aluminum from the container, thus giving a highly safe albumin preparation which can be maintained with an extremely low aluminum concentration over a long period of time.