The social worker, 30, wed the 45-year-old surgeon at St. Joseph on the Brandywine Roman Catholic Church, in Greenville, in a ceremony that also incorporated the groom's Jewish faith.
A reception at the VP's lakeside home in Wilmington followed for 200 family and friends.
President and Mrs. Obama did not attend because of the distraction that would have caused.
The Vice President escorted his daughter, wearing Vera Wang, down the aisle.
"He's getting a helluva woman," Biden said of his new son-in-law.
Wedding Deja Vu: Will Kim Kardashian Do It For The Cameras A Second Time?
Barefoot Blushing Bride! LeAnn Rimes & Eddie Cibrian's Vow Renewal Photo