Australian Olympic Committee President John Coates said it was obvious that the venues in the Indian capital were not ready for the Games, which are set to begin in nine days.
"The Games shouldn't have been awarded to New Delhi, in hindsight," Australian Olympic Committee president Coates told reporters in Sydney.
News that makes sense
Your trusted source for staying up-to-date with the world around you. Get free daily news updates and analysis, straight to your inbox.
"I think the problem is the Commonwealth Games Federation is under-resourced. It doesn't have the ability... to monitor the progress of cities in the way that the Olympic committee does."
Coates said that the International Olympic Committee already had contracts in place with 2012 host London and 2016 city Rio de Janeiro that set deadlines for the construction of venues and facilities.
Host cities were also required to host test events one year before, he said.
"If that had been the case here then certainly something would have been done a lot sooner because obviously the venues are not ready," Coates said.
"You can't ever cut any slack when your focus should be on the best conditions for the athletes," he added.
New Delhi is preparing to host thousands of athletes for the Games, which begin on October 3 amid high-profile withdrawals from athletes and as several national teams delay their arrival in India.
The Commonwealth Games Federation says urgent remedial work is still required to fix athlete accommodation for the troubled Delhi Games.
Federation president Mike Fennell on Friday was holding a series of crisis meetings in the Indian capital amid concern about Delhi's readiness for the October 3-14 Games.
Fennell, who flew to Delhi after team officials expressed outrage at the state of the athletes village, said the flurry of activity since had already brought good results.
"Considerable improvements have been made within the village, with further significant resources deployed ... to make good what was a concerning situation," Mr Fennell said in a statement on Friday.
"Our job across the next week is to help ensure that all the corrective work is completed in good time.
"We must ensure that a suitable environment is provided to ensure the welfare of the athletes and their support staff.
"It is vital that all remedial work that has already started continues with the greatest urgency."
Fennell will later Friday meet with chef de missions at the village, then tour the facility which federation chief executive Mike Hooper earlier this week described as "filthy and uninhabitable".
Fennell will then meet the Indian cabinet secretary KM Chandrasekhar for a briefing from the government.
"I am looking forward to spending the morning with my colleagues from the Commonwealth Games movement and evaluating the situation with all the key stakeholders," he said.

