Her Full House dad Bob Saget confirmed Olsen got married during a Today show appearance Monday morning.
"I was not invited, but I'm very happy and I sent a Mazel tov text," said Saget, 59. "I'm very happy, I love her very much. I hope they're happy."
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The small ceremony took place at a private residence in the couple's home city of New York, according to the Post. About 50 guest enjoyed cocktails in the home's back garden followed by dinner inside.
The celebration was stocked with "bowls and bowls filled with cigarettes, and everyone smoked the whole night," a source told Page Six, and all attendees were required to turn off their cell phones before entering the event.
Another of Olsen's Full House costars added to the well-wishing: "I'd like to congratulate Mary-Kate and wish her and her husband all the happiness in the world," Dave Coulier said in a statement to Entertainment Tonight, adding that he will be "Sending my love."
Sarkozy, 46, and Olsen began dating in May 2012 and became engaged in early 2014.