Police said Anthony, who was stopped at about 4 a.m. on Interstate 25, failed to keep his silver Mercedes in a single lane or to dim his lights.
The former Towson Catholic star was taken to police headquarters and released. A court appearance is scheduled for May 14. He also faces a hearing next month for a February speeding ticket.
"He cooperated by consenting to a blood test, the results of which will not be available for approximately two weeks," said Anthony's attorney, Dan Recht. "He regrets putting himself in this situation."
The Nuggets said they were aware of the situation but were still gathering information.
Anthony's team, battling for the final playoff spot in the Western Conference, notched a vital win Sunday night. But the star forward played poorly, making only three of 14 shots for a season-low 11 points. He is expected to practice today and play tomorrow night.
Anthony has had a strong season overall, averaging 25.8 points, fourth best in the league entering last night, and shooting a career-high 49.2 percent from the field. He started in the All-Star Game and is expected to be a key scorer for the U.S. team in the Summer Olympics.
This is not the first time legal or disciplinary problems have cast a shadow over Anthony's on-court brilliance.
In December 2006, he was leading the NBA in scoring and had just opened a youth center in Baltimore when his participation in an on-court brawl at Madison Square Garden led to a 15-game suspension. Anthony called his actions "inexcusable."
In 2004, authorities found marijuana in Anthony's bag as he tried to board the Nuggets' plane. Charges were dropped after a friend took responsibility for the drugs. Later that year, Anthony faced criticism for appearing in a Stop Snitching video along with alleged drug dealers who threatened would-be police informants.
Since his suspension for the brawl, Anthony's life has quieted down. He and fiancee LaLa Vazquez welcomed a son, Kiyan, in 2007. And in his fifth NBA season, he has teamed with Allen Iverson to give Denver one of the league's most potent offenses.
The Associated Press contributed to this article.