According to the Daily Mail, the couple have named their son Christopher Carlton Cumberbatch.
The middle name of the baby Cumberbatch follows the family tradition, with both Benedict and his father sharing the the middle name of Carlton.
Cumberbatch and Hunter got married earlier this year in February after announcing the pregnancy in January.
The new parents have been private about their son since his birth, with a spokesman for the couple saying at the time: “Benedict Cumberbatch and Sophie Hunter are delighted to announce the arrival of their beautiful son.
“We would kindly ask everyone to respect the family’s privacy during these next few precious weeks.”
We wish the family every happiness for the future.