The 39-year-old "Mastizaade" actor has named the baby "Laksshya".
"I am thrilled to be a father! The paternal instincts in me have been overpowering my heart and mind for some time now. Therefore, I am thrilled beyond words to have Laksshya, now the greatest source of joy in my life," Tusshar said in a statement.
Tusshar's parents Shobha and Jeetendra Kapoor are also thrilled with the new addition to their family.
"We could not be more excited to be grandparents to Laksshya, and are completely supportive of Tusshar's decision. This is certainly a tremendous blessing, and an exciting time in our lives," Shobha said.