Twyford said raising petrol by 3c a litre would cost the driver of an average car filling up once a fortnight about 75c a week, or $39 a year.
Raising petrol by 25.3c will cost Auckland drivers $329 a year, or $6.33 a week using Twyford's formula.
The fuel tax is part of the Government's draft transport plan that includes cutting more than $5 billion from state highways and channelling the money into public transport such as light rail, urban cycleways and safety improvements on urban and regional roads in a bid to lower the road toll.
Big-ticket items include about $4 billion over the next 10 years for light rail, or modern trams, in Auckland from the CBD to the airport and the CBD to Westgate in West Auckland.
Twyford is encouraging the public to have a say on the Government's proposal to raise the fuel tax excise, saying it continues the track of recent years of charges going up by 2c or 3c.
"What is being consulted on is a 3-4 cent per litre fuel excise duty increase which would come into effect on September 1, 2018. Then another 3-4 cents per litre increase on September 1, 2019 and a further 3-4 cents per litre increase on September 1, 2020.
"GST applies broadly to a range of goods and services, for example local authority rates and fuel excise duties," Twyford said.
People can make a submission via the Ministry of Transport website at www.transport.govt.nz.