The baby, who has yet to be named, was born at 4:11am at an undisclosed New York hospital weighing at 8 pounds (3.63 kilograms).
America's PEOPLE magazine - which reports that Tyler "had a relatively short labour and easy delivery" - quotes the actress as telling a pal, "My baby is so handsome I can't stand it. He also has full lips."
Her publicist STEPHEN HUVANE says, "They're thrilled. And they hope to have a name soon."
This is the first child for Tyler, 27, and her English rocker husband ROYSTON LANGDON, 32.