Organised displays would not be affected by the rule which could be in place for the period around Guy Fawkes night later this year.
In recent years there have been a number of occasions where fireworks have been used dangerously and police and firefighters targeted.
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Councillors agreed to look at rolling out firework control zones across the entire city council area.
Initially, they had considered just introducing them in specific neighbourhoods but it was raised that as well as anti-social use, people and pets are in impacted by noisy fireworks in every area.
Jon Molyneux, Scottish Greens councillor put forward the motion for the city-wide firework control zone and also for re-instatement of a free display at Glasgow Green.
He said there is a “need for a firework control zone to protect animals or people with extra vulnerabilities whether that’s sensory disorders or history of trauma.”
He added: “Obviously these groups are not confined to one or two areas of our city. It is an issue in all of our communities and in all of our streets.”
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Families could still use sparklers, which are included in the permitted simple category 1 fireworks but rockets and other types would not be allowed as part of the new potential restrictions.
Councillor Molyneux added: “In Pollokshields there have been longstanding issues, particularly with the wilful misuse of fireworks – fireworks being handed out from the back of a car, being used mainly by young men as weapons, being aimed at property and being aimed at police and fire service workers.
“Young children have been hospitalised and many people in the community have felt afraid and vulnerable and similarly pets and animals in the community too. Many times this is over a period of weeks and months and not just on the 5 of November itself.”
He accepted amendments from Labour on re-instating the Glasgow Green display, which ahs not been held for several years and from the SNP, which should ensure the ban comes into place.
Under the proposals for Glasgow, firework displays would still be permitted as long as they are carried by a professional operator or organised by a community group, sports club or similar organisations.
Councillors instructed a director to develop proposals for consultation to consider whether there is evidence to support a whole council area approach to be taken.
