Martha Stewart announced on her U.S. talk show Friday she has become a grandmother for the first time.

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The media mogul said on "The Martha Stewart Show" Jude was born March 8.

"It's very exciting and Alexis and the baby are doing very well. They're home in New York in their apartment and I stopped in last night after a business trip and I got to see her when she was about 36 hours old -- she is very alert and doesn't cry. Ideal baby," Stewart remarked.

"I'm happy for Alexis that she doesn't cry ... and she is eating well and doing all her natural things well and she's cute and she has Lexie's pouty little mouth. Very, very lovely child. Good luck, baby Jude, and good luck, Alexis. You're on to the next phase of your life -- motherhood."

People.com said Jude was born via gestational carrier.