During a hearing in Miami, the Canadian pop star, who was not present, agreed to the plea deal, which dropped a more serious charge for driving under the influence.
In addition to the 12-hour course in anger management, Bieber agreed to make a $50 000 charitable contribution.
"Mr. Bieber's case has come to a conclusion," cheered Bieber's lawyer, Howard Srebnick, adding "we are relieved that it is over".
Bieber was arrested after allegedly drag racing in his Lamborghini with his friend Khalil Sharieff and was reported to have used obscene words during his arrest
Police said the 20-year-old admitted to having smoked marijuana and taken the prescription drug Xanax.
The troubled pop star has had several run ins with the law of late.
In July he was sentenced in Los Angeles to two years' probation for egg-bombing his neighbours' home.
Bieber was also ordered to perform community service, join an anger management program, and pay the owners of the vandalized home more than $80 000 in repairs.
Among his numerous other recent run-ins with the law, Bieber has a hearing pending in Canada into accusations he assaulted a limousine driver last year.