A green laser light was directed towards the cockpit of an aircraft on its descent into Liverpool John Lennon Airport.
Police said the plane was targeted with a laser pen in the Runcorn area at 9.30pm on Wednesday but landed safely.
Inspector Mike Evans, of Cheshire Police, said: "Such irresponsible and idiotic behaviour can have potentially serious consequences for airline passengers and crew.
"Similar cases have been successfully prosecuted and those found guilty of participating in such behaviour are liable to a term of imprisonment."
Anyone with information should contact Cheshire Police on 101 quoting incident number 973 of 2/3/2016. Alternatively information can be reported anonymously to Crimestoppers on 0800 555 111.