Airports Council International (ACI) and Iata said all testing requirements, passenger locator forms (PLFs) and the need to present proof of vaccination should be removed now Covid is pervasive throughout Europe.
The groups also called for mask-wearing for travel within or between EU states where it is no longer required in other indoor environments to be scrapped.
They said PLFs for international travel have been rendered "redundant" now contact tracing efforts are being stood down.
