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Diesel cars are more severely hit because you’ll need a newer model of at least Euro 6 emissions status to drive in the zone for free.
Electric and hydrogen cars with no emissions also avoid paying the free, and motorbikes fall into that group too.
People living in the zone who earn less than £26,000 a year can also apply for an exemption from Bristol council.
It is thought some 71% of cars in Bristol are already exempt from the fees.
Mayor of Bristol, Martin Rees said: “This is an important step on our journey to cleaner air and creating a healthier future for everyone in Bristol.
“We need to reduce harmful pollution in the city and reach the legal limits set by Government in the shortest time possible, but we also want to give those who need it, a bit more time to prepare.
“That could mean upgrading or changing a vehicle or trying out different and more sustainable ways to travel instead.”