The crash happened in the northbound lanes of the highway just south of Interchange 3 around 1 p.m. Wednesday.
The bus appears to have been hit from behind by the tractor-trailer.
Video from Chopper 6 showed a number of police, firefighters and medics on the scene.
State police say 13 people were injured, including a truck driver and 12 people on the bus with military personnel.
There was no word on the conditions of those hurt.
The military personnel being transported on the bus are from Maryland.
Chopper 6 video of crash on NJ Turnpike in Runnemede
The cause of this crash is not yet known.
For the latest conditions on area roadways, visit 6abc.com/Traffic.