The pop star has spoken openly in the past about seeking help for excessive drinking.
In the state of New York, penalties for charges related to driving while intoxicated include up to a year in jail, a $1,000 (£786) fine and the suspension of a driver’s licence for at least six months.
Timberlake was scheduled to perform two shows in Chicago this weekend, followed by a show in New York’s Madison Square Garden next Tuesday.
The 10-time Grammy winner is also known for his roles in the films The Social Network and Friends With Benefits.
Timberlake is married to actor Jessica Biel, with whom he shares two children.