updated 08/13/2011 AT 2:45 PM ET
•originally published 08/13/2011 AT 12:45 PM ET
The Dancing with the Stars co-host, 39, wed her actor beau, also 39, in St. Barts on Friday, her rep confirms to PEOPLE.
On Saturday morning, Burke hinted at her happy news, Tweeting, “morning tweeties. Waiting for LA to wake up….big news to share.”
The couple are parents to son Shaya, 3, and daughter Rain, 4½, while Burke is also mom to daughters Sierra, 9 and Neriah, 11, from her previous marriage to Garth Fisher.
Why marry now after the long engagement?
“We started talking about why to do it at this point in our relationship,” Burke blogged last year. “ ‘Do you want forever?’ David asked. ‘Yes, I need forever,’ I said. It was just that simple. I would like to have a husband.”
Reporting by DAHVI SHIRA