No other details regarding the Sunday ceremony were immediately available.
The couple began dating in April 2011, got engaged five months later and welcomed their first child, daughter Pearl, in April 2012.
Osbourne. who was diagnosed with multiple sclerosis this year,
is a filmmaker, reality TV personality and the son of rock icon Ozzy Osbourne and "The Talk" co-host Sharon Osbourne.
Stelly is an aspiring actress, UsMagazine.com said.
Celebrity Families of 2014 [PHOTOS]