Although the couple hasn't yet confirmed the news themselves, their spokesperson told MailOnline: "I can confirm that Eddie and Hannah Redmayne have welcomed their first child."
The couple, who revealed they were expecting their first child together in January 2016, previously said they had decided to keep their baby's gender a surprise.
"I’m excited but I don’t think it’s sunk in yet," Redmayne told PEOPLE in February 2016. "We’re waiting to find out the sex. We want to be surprised.
"It will be a big surprise either way! We just bought our first baby book. So there’s the first step."
The pair married in December 2014 in a small ceremony after dating for two years.
Congrats to the new parents!