In this work, the glass transition of water was studied with density functional theory. The transition temperature was determined by measuring the heat capacity C-p of low-density amorphous water during rapid heating. This technique ensures that all measurements were implemented without crystallization occurring, which is difficult to be achieved experimentally. The results showed that the glass transition occurs at 171 K, which is much higher than the reported value of 136 K. In addition, the triply hydrogen-bonded water molecules were found when T > 180 K, demonstrating the existence of the liquid structure at the higher temperature range.