But Dawson said the Litter Act was not widely recognised, and "increasingly fewer people are paying any attention to it whatsoever".
Media coverage around the cigarette butt bylaw, referred to by some as Buttgate, had done well to educate people on the issue, he said.
"There is a significant minority of people who simply believe that the world is theirs to do with what they please, so they will discard their rubbish wherever they will.
"It's not the council's responsiblity to clean up people's rooms, or indeed to clean up after them. People need to be, as we say in this country, 'tidy Kiwis'."
Dawson said Wellington had the lowest rate of smoking in the country, below 9 per cent, and the best way to reduce cigarette butt litter was to reduce the amount of people smoking.
Councillor Andy Foster also said the bylaw had helped to highlight the issue.
"A lot of people don't actually see cigarette butts as litter," he said. "I think it's really, really useful we've got that out there."
Councillor Nicola Young pointed out discarded chewing gum on streets and footpaths was also an issue, and that she would like to see "a crack down on chewing gum manufacturers".