The 28-year-old billionaire's wedding took place a day after Facebook's initial public offering on the Nasdaq stock exchange on Friday.
More than 280,000 people "liked" Mr Zuckerberg's status change, which was accompanied by a photo of the smiling couple in wedding attire in a small, verdant outdoor setting with a string of lights behind them.
In the photo, the famously casual Mr Zuckerberg is wearing a dark blue suit and tie, a departure from his trademark "hoodie," while Ms Chan has on a sleeveless white dress with lace overlay.
The pair wed in an intimate backyard ceremony in Palo Alto, California, according to People magazine.
The couple had planned the exchange of vows for four months, but surprised their guests, who thought they were to celebrate Chan's recent graduation from medical school, the magazine reported.