The 69-year-old director, who was earlier married to film Editor Marcia Lou Griffin, exchanged vows in front of family and friends.
'Angeles and Demons' maker Ron Howard was amongst the few who attended the wedding, reported Us magazine.
"George Lucas, Mellody Hobson... Wedding was joy to behold Bill Moyers service was beautiful, nothing short of profound. Congrats (sic) Mr & Mrs Lucas," Lucas tweeted.
The filmmaker received congratulatory tweets from friends, including 'Star Wars' star Samuel L Jackson.
"Let's give a Galactic shout out to Master George Lucas & his bride Mellody on this their wedding day!! Congrats," Jackson tweeted.
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