In the footage caption, the Born Free singer aimed a profanity at California Governor Gavin Newsom, a Democrat, who has feuded with Trump, a Republican.
One clip shows Kid Rock, whose real name is Robert Ritchie, standing poolside next to a replica of the Statue of Liberty, clapping and saluting as the aircraft hovers before flying away.
“God Bless America and all those who have made the ultimate sacrifice to defend her,” the caption said.
Another video shows Kid Rock pumping his fist before a second gunship appears to fly by his mansion, which he has dubbed the Southern White House.
Maj Jonathon Bless, a spokesman for the Army’s 101st Airborne Division at Fort Campbell, Kentucky, said an investigation had been launched.
“We take all concerns regarding aircraft operations and their impact on the surrounding community seriously,” Bless said.
