The delivery had taken place on June 1 and subsequently the mother, Soniya, had refused to accept the baby claiming there was a switch as she had given birth to a boy.
Soniya (25) and her husband had then approached the police, seeking a DNA test.
"The test results are out which proves that the woman had given birth to a baby girl and all their allegations were wrong and baseless," A K Rai, medical superintendent of Safdarjung Hospital, said.
Rai added that the hospital has now lodged a complaint with the police seeking action against the husband and the couple's relatives.