"Last week, with the help of an amazing delivery team, Cherry gave birth to our beautiful and healthy daughter – Lyra Antarctica Seaborn Sheeran."
Lyra is originally a Latin name, and means Harp - which is a solid choice for a music megastar.
"We are completely in love with her. Both mum and baby are doing amazing and we are on cloud nine over here. We hope that you can respect our privacy at this time. Lots of love and I'll see you when it's time to come back, Ed x."
The couple kept their pregnancy a secret during coronavirus lockdown, with the news made public last month.
A source told The Sun: "Ed and Cherry are over the moon. They're very excited, but have kept things very low-key.
"Lockdown was a perfect excuse not to be seen out and about too much, but things are getting closer and the excitement has been building so they have started telling friends and family.
"They're just making the last of the preparations at home, and the baby is expected later this summer [in the UK].
"It's a really happy time and their families are all totally delighted for them and cannot wait to meet the new arrival."
The couple were high school friends and Ed is said to have had a crush on Cherry at the time. However she left to go to university in America.
They began dating in 2015 and announced their engagement in January 2018 in a loved-up Instagram snap.
Sheeran wrote: "Got myself a fiancee just before new year. We are very happy and in love and our cats are chuffed as well."
The couple married in secret later that year at his estate in Framlingham, watched by a handful of their closest friends and family.
They hosted a more lavish bash with showbiz pals last September. Ed and Cherry move in celebrity circles in the UK and count Prince Harry, Princess Beatrice and Princess Eugenie as well as singer Ellie Goulding among friends.
On Christmas Eve 2019, Sheeran told his millions of followers he was taking some time off after promoting his Divide album.