“The aircrew involved in the incident are in stable condition,” Mountain Air Force Base Gunfighters said in statement posted, external on social media on Sunday.
“Thank you to all our guests for your patience and compassion, which has allowed us to quickly and safely respond to the incident,” the statement said.
The Navy spokesperson said the crew members were being checked by medical personnel.
The EA-18G Growlers were assigned to an electronic attack squadron from Washington state. The US Navy, external says each of those jets cost about $67m (£50.3m).
Kim Sykes of Silver Wings of Idaho, which helped organise the air show, told a local CBS affiliate that no-one at the military base was hurt.
The Gunfighter Skies air show was last held in 2018, when a glider pilot died in an accident.
The BBC has contacted the air force base and event organiser for comment.