The driver got out under his own steam before responders arrived and was taken to Hackensack University Medical Center with injuries that weren't considered life-threatening.
It was unclear whether summonses would be issued, given the truck size.
Trucks with a gross weight over 10,000 pounds are prohibited from the Parkway north of Exit 105. Violators face up to 30 days in jail, a fine of up to $500 or both.
Paramus police, firefighters and EMS assisted State Police from the Bloomfield barracks at the scene.
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