The aim is to make it less attractive for houses and flats to be left unoccupied.
Currently, the city council gives a 50% discount for properties which have been lying empty for some time.
But this week, councillors will be asked to slash the discount to 10% bringing Glasgow into line with most other Scottish authorities.
That will mean owners will be faced with increases in their council tax bills of between £324 and £971 a year depending on the council tax band of the property.
Regulations define short-term vacancies as less than 12 months and long-term as more than 12 months.
Council bosses say it is impossible to give accurate figures for the number of properties which lie empty for less than a year.
But more than 3100 houses and flats in the city have been lying vacant for more than a year.
Of those, 729 are owned by housing associations, 859 are privately owned, 1413 belong to private landlords and 130 to other landlords.
The majority fall within the cheapest A to C council tax bands which range from £808 to £1078 a year.
However, 12 of the empty properties are owned by private landlords and fall in the top H band of £2426 a year.
Lynn Brown, the city council's executive finance director, said: "Unoccupied properties owned by private individuals or private landlords would be most impacted by any change making up some 72.5% of the total.
"Glasgow is currently the only Scottish council that affords 50% discount on long-term empty properties.
"While this is beneficial for landlords and owners of long-term unoccupied property, it reduces the amount that can be reinvested into housing development and may not provide enough of an incentive for landlords to bring properties back into use.
"Each of the other councils currently afford 10% and several councils, including Edinburgh, plan to impose a surcharge during 2014/15."
Mrs Brown said while housing associations would also be charged more, that is likely to be offset by additional cash from the council as a result of the increased revenue from council tax.
Glasgow Housing Association has around 370 empty properties but the vast majority are exempt from council tax.
Owners do not have to pay council tax if homes are either awaiting demolition or undergoing major renovation work and that will continue under the new rates.
Hazel Young, policy director for GHA's parent company Wheatley Group, said: "We know there's a huge demand for affordable homes.
"We support plans which will help bring empty homes in Glasgow back into use and increase the supply of new-build social housing."