NFL Network's Mike Garafolo, citing Anderson's attorney, said the wide receiver received six months of non-reporting probation.
Felony charges from Anderson's arrest in January had previously been dropped.
Anderson was arrested on Jan. 19 on suspicion of multiple charges after he allegedly failed to yield during a traffic stop. The felony charge for reckless driving was downgraded to a misdemeanor.
The 25-year-old Anderson was arrested in Sunrise, Fla., after allegedly driving 105 mph in a 45-mph zone and running two red lights while speeding away from police.
Anderson led the Jets in receiving last season, catching 63 passes for 941 yards and seven touchdowns.