The star, who disappeared in July, posted a long apology on social media.
Ms Fan, who is one of China's highest paid actors, will escape criminal charges if the fines are paid on time, said state news agency Xinhua.
The actress had been linked to a government probe into how celebrities reported earnings in their contracts.
Some film stars were alleged to have used so-called "yin-yang contracts" - a practice where one contract sets out an actor's real earnings, and another details a lower figure, with the latter submitted to the tax authorities.
Authorities have now ordered Ms Fan and the companies she controls to pay the huge sum in taxes, fines and penalties.
The 37-year-old actress, who appeared in the X-Men and Iron Man film franchises, has not been seen in public since 1 July and her whereabouts have been the subject of intense speculation. Her current location is unknown but reports say she has been held in secret detention.
On Wednesday, the star posted an open apology to her tens of millions of fans on her Weibo account saying: "I've been suffering unprecedented pain recently… I'm so ashamed of what I've done. Here, I sincerely apologise to everyone.
"I completely accept all the penalty decisions made according to law, after the investigation done by tax authorities. I will follow the order, try my best to overcome difficulties, raise fund, pay taxes and fines."
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