Kate Winslet and Ned Rocknroll
12/26/2012 AT 09:10 PM EST
Talk about a Titanic secret.
has tied the knot with Richard Branson's nephew, Ned Rocknroll, her rep tells PEOPLE.
"I can confirm that Kate Winslet married Ned Rock'nRoll in NY earlier this month in a private ceremony attended by her two children and a very few friends and family," the rep says. "The couple had been engaged since the summer."
According to British media reports, Leonardo DiCaprio
gave away the bride in a ceremony so secret that the bride and groom's parents didn't know about it.
The Oscar-, Golden Globe- and Emmy-winning actress, 37, has been dating
Rocknroll, 34, (his legal name) since fall of 2011.
In August 2011, she and Rocknroll were on the same Caribbean island owned by Branson when a fire broke out and Winslet rescued
Branson's 90-year-old mother.
Winslet previously was married to Sam Mendes
and Jim Threapleton.
Reporting by JULIE JORDAN