McConaughey, the 29-year-old star of movies such as Amistad and EdTV was released on $1,000 bond after a brief court hearing. His case will be heard at a later date.
According to a police affidavit, McConaughey was arrested on probable cause of possessing marijuana and drug paraphernalia. But he was not charged with any drug-related crimes.
Travis County Attorney Ken Oden said the drug-related charges were dismissed because they were not supported by the facts of the case.
Austin police officer Michael Olsen said in an affidavit that he went to investigate a neighbor's noise complaint and saw a man who turned out to be McConaughey dancing naked.
"Through the window...I could see a nude, white male dancing and playing bongo drums," he said.
Olsen said he pushed open a screen door and entered the house to speak to McConaughey about the loud music, adding that the actor started to shout at him angrily.
The police officer reported seeing parts of a marijuana plant and drug paraphernalia in the house.
"I glanced at the coffee table and observed a shallow bowl that had what I recognized to be marijuana stems and seeds in it," Olsen said in the affidavit.
McConaughey initially refused to be transported in a police car to the county jail but ended his resistance after a second officer arrived, Olsen said.
The actor was born and raised in Texas and attended film school at the University of Texas at Austin. He was discovered in an Austin bar and cast in director Richard Linklater's 1993 cult picture Dazed and Confused.
In the past six years, McConaughey has gone on to play leading men in a number of major films, including Steven Spielberg's 1997 picture Amistad, and the 1996 Joel Schumacher film A Time to Kill, based on the John Grisham thriller by that name.
His most recent film was EdTV, in which he portrayed a regular guy, Ed Pekurny, whose life is turned into a television show.
©1999 CBS Worldwide Inc. All Rights Reserved. This material may not be published, broadcast, rewritten, or redistributed. Reuters and the Associated Press contributed to this report