Officials including those from the Federal Aviation Administration are investigating the crash.
"Show officials believe that the two performers involved did not survive," organisers of the 2013 Vectren Dayton Air Show said in a statement.
They added that no one else was injured in the crash, which happened around 1pm local time.
A woman performing a wing-walking stunt and her pilot were killed on Saturday when their plane crashed while inverted at an air show in Dayton, Ohio, organisers of the event said.
Butlins have confirmed that the five victims killed in a crash in Grimsby were on their way to the Skegness Dance Festival held at Butlins. They were due to take part in the freestyle competition.
ITV News understands that there were two adults and two teenage girls and a baby in the car. The girls were involved in the competition and had competed before.
Durham Police said they have assigned three family liaison officers to work with family members of the five people killed in a head on crash near Grimsby yesterday. The victims are from the Durham area.
The Grimsby stretch of the A18, where five people died in a car crash today, featured in a BBC television programme called Britain's Most Dangerous Roads in 2011.
The BBC2 programme claimed it was 25 times more dangerous than the average British motorway, with 20 crashes in the previous three years.
It was also found to be the UK's highest-risk stretch of road for car drivers in a nationwide survey conducted by the Road Safety Foundation in 2010.
A road crash that has killed five people in Lincolnshire happened on Barton Street, Laceby, about five miles west of Grimsby.