The 47-year-old actress, who already has a 5-year-old daughter, Nahla, from her previous relationship, gave birth to a baby boy on October 5, reported Us magazine.
Berry first announced her pregnancy on April 5, saying it was "the biggest surprise of her life."
"Thought I was kind of past the point where this could be a reality for me. So it's been a big surprise and the most wonderful," she had earlier said.
Berry and Frenchman Martinez, also 47, tied the knot in an intimate ceremony in Vallery, France on July 13. The pair exchanged vows in front of around 60 guests.
This is the first child for Martinez and second for Berry, who gave birth to Nahla in 2008, with then-boyfriend Gabriel Aubry. She started dating Aubry in 2005 but ultimately called it quits on their relationship in April 2010.
