The singer shared two black-and-white photos of her baby boy on Twitter Saturday night. They were coupled with the caption: "Meet Remy, our newest [addition] to the family! #charmfordays #watchoutladies."
After one follower pointed out a typo in the big reveal, Clarkson noted that she hadn't "slept in days."
Clarkson, 33, announced that she and husband Brandon Blackstock had welcomed their second child earlier this month on the same social network.
"Our little baby boy has arrived," Clarkson tweeted then. "Remington Alexander Blackstock was born 4/12/16 & he is healthy & we couldn't be happier or more in love!"
Clarkson and Blackstock, who wed in 2013, are also parents to 1-year-old daughter River Rose.