She also appealed to people to maintain peace and calm against the backdrop of violent demonstrations last weekend over the gang-rape incident.
"Our heart goes to the family. My heart is burning over the incident. The passing away of the girl is a truly and terribly tragic incident. It shook our conscience," Dikshit told PTI.
The girl, who was gang-raped allegedly by six men in a moving bus in south Delhi on December 16, breathed her last in a Singapore hospital early this morning after battling for life for the past 13 days.
"It is a shameful incident for me as a Chief Minister and also as a citizen of Delhi. It is time for all of us to reflect on what has happened.
"We all must ensure such ghastly incident do not happen in future. I pray for her," Dikshit said.