The new rules will be introduced in 2023.
A number of older heavy polluting vehicles will not be permitted to drive in the area under Low Emission Zone (LEZ) proposals.
Generally petrol vehicles registered before 2006 and diesel engine vehicles registered before September 2015 will not be allowed in.
Consultation on the city centre rules which are due to come into effect in 2023, ends on Thursday, September 2.
The LEZ area would cover the majority of the city centre bounded by the M8, the River Clyde and Saltmarket and High Street.
People living in the zone would be exempt from the emission rules for an additional one year grace period – up until June 1 2024.
Urging people to have their say on the plan, a Glasgow City Council statement said: “Designed to protect public health by reducing air pollution, Glasgow’s LEZ will apply to all vehicles driving into the city centre zone from 1 June 2023.
“Our consultation on the proposed scheme design for this next phase, closes soon.”
The scheme is to operate for 24 hours every day of the year. Motorbikes, mopeds and vehicles for disabled people are exempt.
Drivers would have to pay £60 for non compliant vehicles – reduced by 50 per cent if it is paid within 14 days
It is expected the public health measure would cut levels of harmful pollution and improve air quality.
Levels of nitrogen dioxide are causing concern within the city centre and most air pollution in Glasgow is caused by road traffic emissions.
The council has been collecting views on the proposals through the consultation survey.
To take part in the consultation click HERE.
Phase one of the EEZ has already been rolled up and applies to local bus services.