Kwon, 35, stood briefly for the media before entering a police station in Incheon where the star of the Oscar-winning film Parasite, Lee Sun-kyun, was also questioned over the weekend on a separate allegation of illegal drug use.
Kwon, dressed in a dark suit, denied any wrongdoing and said he had come to clear any suspicion against him.
“There is no truth to (the accusation of) illegal drug-related crime,” he said when asked whether he abused illegal drugs.
Lee declined to answer questions about drug use as he left the police station on Saturday, only saying he answered all the questions asked by police to the best of his knowledge.
A series of arrests in recent months, including chaebol heirs and celebrities, on drug charges have prompted authorities to step up a crackdown on narcotics and customs inspections.
South Korea has tough drug laws, and crimes are typically punishable by at least six months in prison or up to 14 years for repeat offenders and dealers.
Social media and foreign travel have made illegal drugs much more accessible, drug rehab advocates say.
Source: CNA
