The PenAir 3296 flight from Anchorage to Dutch Harbor landed at Unalaska-Dutch Harbor, but left the runway when, according to Alaska Airlines, it marketed the flight.
The plane ended up landing on a bank of a body of water, as a photograph shows.
Three crew members and 39 passengers were on board, said the Ravn Air Group, which owns PenAir.
In addition to the two seriously injured passengers, 10 more people received medical care, the statement says.
"Our thoughts and prayers are addressed to all passengers and crew members as well as to family members of all persons with relatives flight," said Dave Pflieger, CEO of PenAir.
The incident occurred at 5:40 pm (1
Weather conditions at that time included light rainfall, a decline in visibility and sustained winds of 40 km / h with gusts of 40 km / h, according to CNN meteorologist Haley Brink.
The headmaster of the school in Cordova, Alaska, from which the swim team originated, told CNN that "all students and supervisors are billed and are fine.
" A few moments ago I spoke again to Superintendent (John) Conwell (of the school district of the city of Unalaska), who explained that the team was together, looked good and ate pizza. Mr. Conwell repeatedly assured me that the students were well looked after and cared for, "said the Superintendent of the Cordova School District, Alex Russin.
CNN's Konstantin Toropin contributed to this report.