Jaycee Chan, 32, is accused of sheltering others to use drugs. In August police said more than 100 grams of marijuana were found at his home.
Correspondents say that if convicted, Jaycee Chan could face up to three years in jail.
In June, Chinese President Xi Jinping called for “forceful measures” to tackle illegal drug use.
Several film and television stars, including directors and a prominent screenwriter have been arrested.
In August Jackie Chan apologized over his son’s arrest, saying he felt “ashamed” and “sad”.
Jackie Chan was named an official “Narcotics Control Ambassador” by Chinese police in 2009.
Jaycee Chan and Taiwanese movie star Kai Ko, 23, were both detained at his Beijing home in August, with police saying they tested positive for marijuana.
Kai Ko was released after a 14-day administrative detention for drug use.
Jaycee Chan was put under “criminal detention” for the additional and more serious suspected crime of “providing a shelter for others to abuse drugs”, Beijing police said at the time.
Jaycee Chan’s management firm M’Stones International apologized on his behalf at the time for the “social impact” caused and said they would “supervise his rehabilitation and help him return to the right path”.
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