When officers stopped him, Timberlake’s eyes were “bloodshot and glassy” and a “strong odor of an alcoholic beverage was emanating from his breath”, according to a charging document.
His speech was slowed and he performed poorly on the officers’ sobriety tests, the document said.
He also refused a breathalyzer test, it added.
“I had one martini and I followed my friends home,” Timberlake allegedly told the officer who stopped him, according to the BBC’s US partner CBS News.
Timberlake has previously spoken openly about seeking help for excessive drinking.
In 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 license for at least six months.