"And it is just horrendous that they were doing it while children were going past."
Two "pilots" and three "stewardesses" — Christina May, Emily Blake and Bethany Adams — took part in the film.
A photo later posted online shows the "pilot" having sex with one of the "stewardesses" in a row of plane seats.
Reportedly, adult film studio Banged Air paid the museum £100 (NZ$202) to hire the plane, which was once part of Air France's fleet — but museum staff said they had no idea what was going on.
"This group arrived wearing pilot uniforms and the like but that is not unusual as some people do re-enactments," manager Diane James said.
"If we had known what was going on we would have stopped it immediately. They have hoodwinked us."