The 39-year-old who participates in the TV producer Happy Andy, welcomed her son, 8 pounds 5oz Tuesday.
She is expected to leave hospital and go back to her north London home later this week.
Sarah Cawood said the day they were "excited and slightly terrified" about the baby home.
She added: "Hunter is a beautiful, healthy baby boy long legs, like his father."
Sarah Cawood, who suffered a miscarriage last year, published since her pregnancy blog Where is the Help Guide.
The presenter found fame in the nineties in the series as a little girl Show and later went on to host Live & Kicking, Top Of The Pops and the Eurovision Song Contest.
Sarah Cawood said the day they were "excited and slightly terrified" about the baby home.
She added: "Hunter is a beautiful, healthy baby boy long legs, like his father."
Sarah Cawood, who suffered a miscarriage last year, published since her pregnancy blog Where is the Help Guide.
The presenter found fame in the nineties in the series as a little girl Show and later went on to host Live & Kicking, Top Of The Pops and the Eurovision Song Contest.