The young rockers had a mostly traditional ceremony, the magazine said.
The usually shabby Lavigne wore a Vera Wang gown, carried white roses and was walked down the aisle by her father as Mendelssohn's "Wedding March" played.
Lavigne, 21, and Whibley, 26, exchanged vows under an awning covered in white flowers, the AP reports.
Messages left by The Associated Press for Lavigne's label, Nettwerk Management, were not immediately returned Sunday.
The pair have been dating since early 2004 and bought a house in Los Angeles later that year. They became engaged in Venice, Italy, in 2005 while Lavigne was on a European tour.
Lavigne is working on her third album and recently gave voice to the possum Heather in the film "Over the Hedge."
A drone video shows a Russian flag flying over the outermost house in the west of the city.