"It's official!!! We're married!!!" Furlan wrote in an Instagram post last Thursday.
The caption accompanied a photo of the couple's patient dogs in a wedding dress and tuxedo.
"Holy s--- balls!!!! We did it!!!! Mr & Mrs Lee," the drummer added in a post on his own account.
Furlan released a documentary last year called American Meme, which chronicled her rise to fame on social media platforms Vine and Instagram.
"I can't believe I went from the most depressed, lonely girl, thinking I would die alone with my dogs, to getting married in 4 days.... wow....life is a trip," Furlan wrote in a Tweet on Monday.
The comedian and model then proceeded to offer words of encouragement in her replies.
"If it can for me, it can for you," Furlan told on follower.
This is Furlan's first marriage and Lee's fourth.
Lee's career in music has been well-chronicled.
Crüe revealed last September that, while the band has no plans to perform live again, they wrote and recorded a handful of new music to go along with the film.
Photo: Getty Images