The city council declared the whole of Glasgow an air quality management area in 2012 after targets were exceeded.
The authority said tests had shown 95% of areas were now meeting air quality targets but some still faced challenges posed by traffic emissions.
The improvement is being attributed to more low-emission buses, a cycle-hire scheme and a city car club.
Councillor Alistair Watson, the council's executive member for sustainability and transport, said: "While we have made very good progress, we recognise that there is more to be done.
"We will continue to work together with our partners to reduce air pollution levels and improve the health of our citizens."
Councillor Watson said there had been a number of initiatives over the last three years to improve air quality in the city.
These included a bus quality partnership with now sees only lower emission vehicles on particular public transport routes; the introduction of a car club, and schemes to encourage more sustainable transport such as the city's first all-electric bus service and the cycle hire scheme.

Rose Polge, 25, whose car was found in a car park near Ansteys Cove in Torbay, disappeared on Friday.
Divers have been searching just south of the cove, as part of a major operation.
The family statement thanked everyone for their "help, hope and kind words".
The BBC understands that a note was found in Dr Polge's car.
It is believed its contents were mainly related to personal issues, but there was a passing reference to Health Secretary Jeremy Hunt.
It is understood Dr Polge is an active campaigner against plans to change working hours and conditions for junior doctors, and in January posted a new Facebook profile picture, featuring the hashtag #NotFairNotSafe.
On Thursday, Mr Hunt confirmed the government would impose a new contract on junior doctors in England.
Dr Polge's family said: "The support we have received from family and friends has been much appreciated, and clearly Rose is loved far and wide.
"We are overwhelmed by the support from her friends and colleagues, dozens of whom have been combing the Devon Coast in search of Rose.
"As the search continues we would appreciate some privacy from the press in our time of distress."
Police said her disappearance was "totally out of character" and concerns for her welfare were rising.
Devon and Cornwall Police confirmed an item of clothing had been found at the cove, but would not say whether it belonged to Dr Polge.
Coastguards and search and rescue groups searched for her in Torquay at the weekend.
Friends and local residents combed the beaches in the area on Saturday and Sunday, while police also searched more remote areas such as cliff tops and woodland.
More than 100 people have been involved in the search operation, including Dr Polge's boyfriend and her family, who live in Melbourn, Cambridgeshire.
Police are appealing for the public to contact them with any information or sightings of Dr Polge.
A Department of Health spokesman said: "Our thoughts are with Dr Polge's family and friends at an extremely difficult time."
Glasgow is revoking a city-wide air quality management plan after a major improvement in pollution levels.
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The family of a missing junior doctor has said they are "overwhelmed by the support" of dozens of people who have helped to search for her along the Devon coast.