The actress, who married actor Abhinav Kohli in 2013 after dating for almost three years, has a daughter Palak from her first marriage to Raja Chaudhary.
Mother and baby are doing fine, said Dr Shobha Sharma, the hospital's pediatrician.
Shweta started her career at the age of 19. She starred in 2001's Kahani Kissi Roz, followed by Kasauti Zindagi Ke, which run for seven years till 2008.
She participated in television shows, including Bigg Boss.