A method for producing a glass article having high hydrolytic resistance is provided. A glass tube consisting of borosilicate glass and having an Al2O3 content of less than 1 weight-%, a ZrO2 content of 2-12 weight-%, and a glass transition temperature Tg is reshaped into a glass article and is subsequently subjected to a thermal post-treatment. To reduce the alkali release of the glass article, the glass article is subjected to a treatment temperature of TB≥Tg+5° K over a treatment time of tB≥5 min and is subsequently cooled during the thermal post-treatment.