Transportation officials say the accident happened just before noon Tuesday on Interstate 87 in Saratoga County, about 150 miles north of New York City.
State police say a person in one of two other vehicles involved has died. Police tell local media outlets the injuries on the bus were minor.
A trooper says the bus had 40 on board and was carrying men from St. Michael's College to a game in Westchester County outside New York City when a car spun out on the wet highway and hit the bus. The bus landed on its side off the road.
A mangled red car is in the median.
