Melbourne's Lord Mayor, Robert Doyle is demanding the owners of the Southern Star Observation Wheel at Docklands set a date for the attraction to be completed.

Construction had to start all over again after the wheel was closed in 2009 when it began to buckle and crack in a heatwave.

Councillor Doyle says the owners do not have to pay rates while the wheel is incomplete and they should not use inclement weather as an excuse for not having a timeline.

"Every major development in the city, some of them far bigger than this, can give you an approximate completion date," he told ABC local radio.

"They do that when they're building very large buildings on difficult sites during the same inclement weather.

"So I don't see why they can't actually say, here is the completion date."

He says it has been five years since the wheel was started businesses in Docklands need to know when it will be finished.

"We're not going to hold them to it to the day or the week or the month but it would be reasonable for those businesses to know when is this going to be complete," he said.

The wheel operators say they will give the mayor and the State Government an update on the completion date next month.

Night works have recommenced to help speed up construction.