The referendum on Sunday flights to Aitutaki in the Cook Islands is to be held on April 22nd.
The Cook Islands News reports that Prime Minister Henry Puna raised the referendum issue with cabinet and a directive has been given to the Electoral Office to conduct the necessary arrangements.
The island-wide poll will involve the three constituencies of Arutanga-Nikaupara, Amuri and Vaipae-Tautu.
Only those voters who were eligible at the last general election can participate.
The referendum is non-binding, but Mr Puna says the government will be guided by a simple majority of votes and a subsequent decision will be made on that result.
Air Rarotonga says the company does not wish to comment on the referendum.
The spat over Sunday flights has been long-running, with proponents saying they boost tourism while opposition is mainly based around the belief that Sunday is a sacred day when businesses should not operate.