The students, fifth graders at East Brook Middle School in Paramus, New Jersey, were on their way to a field trip when the collision occurred, Murphy told a news conference from the school.
The Morris County prosecutor's office confirms "there are fatalities as a result of this crash" but hasn't said how many.
The front end of the red dump truck was mangled in the wreck, which took place about 80 kilometres west of NY.
Seven adults, including the driver, and 38 students were on board the bus, Murphy said, and 43 people of those 45 were injured and hospitalized.
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This item has been corrected to show the governor went to the school, not the scene of the crash; it's unclear if he went to the scene. Qureshi said students on the other buses didn't find out about the crash until they arrived back at school.
Waterloo Village is a historic site depicting a Lenape Indian community and once-thriving port along the Morris Canal in northwestern New Jersey.
Morristown Medical Center spokeswoman Elaine Andrecovich said they have received some people from the accident, but she did not have a number available and could not say how many were children.
The bus had about 50 students from high school East brook in Paramus when it crashed at mount olive, about 40 miles West of the school.
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A fifth grade class in the district was scheduled to visit Waterloo Village about five miles from the crash site.
About 10 victims were taken to St. Clare's Dover hospital and St. Clare's Denville hospital, said a hospital spokeswoman, Patty Montgomery.
Crews loaded the wrecked bus onto a flat-bed truck on Thursday night.
The chassis is the "base frame of a motor vehicle", and NBC 4 in NY reports that the school bus had its ripped off entirely during the accident.
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Hackettstown Police Sgt. Darren Tynan told The Record that multiple people were taken to a hospital. "I can only describe it as horrific", said Mount Olive Mayor Robert Greenbaum, CBS New York reported. The extent of their injuries wasn't known.