But the rangers would need police officers to arrest a smoker who did not co-operate or provide ID.
The council plans to enforce the smoke-free zone later this year in the Mall and at Martin Place, which has undergone a 12 month trial as a no smoking area.
During the trial, City of Sydney rangers were given the power to demand a smoker's details, and if they didn't comply, to follow them into their workplace and pressure them into providing their information.
Ten months into the trial, in March this year, no-one had been fined for smoking in Martin Place, and smokers dropped from 300 to as low as 30 a week.
The council claims the smoking ban is to "focus on a healthier way of life ... and promote civic pride" by limiting cigarette butt litter, and not for raising revenue.
NSW Government laws made it illegal to smoke outdoors at bus stops, train stations, public building entrances, and near playgrounds and sports ovals.
Sydney council said it trained rangers "to judge each case on individual merit and encourage smokers to extinguish and dispose of their cigarettes appropriately, or move on from the area".
The City of Sydney said 80 per cent of the people it surveyed agreed the Martin Place smoking ban should be permanent.
Clayton Zwanenburg, a visitor to the Pitt St Mall, disagreed. Mr Zwanenburg told Central Sydney the ban was an infringement on his freedom.
"I appreciate that there's people who don't like it but then if you're walking here and you saw a group of people smoking, don't come and stand here,' he said.
"I have every right to sit here and smoke and you have every right to sit here and not have a smoke blown in your face.
"I try and be courteous when I'm around people, I'll blow it down or up and out, I don't blow it in people's faces but ... it's an attack on people's choices.
"We sell ourselves as a free country but, we're not really."