The figures, from Public Health England, show that Shirehampton and Avonmouth currently holds the highest infection rate, followed by Westbury-on-Trym and Whitchurch Park.
The rates are all significantly higher than the national average, which stands at 440.0 cases per 100,000 people.
It comes as face coverings become mandatory in shops and on public transport again over concerns around the Omicron variant.
More than 20 cases of the variant have been confirmed across the country, but the South West remains free of the strain at the moment.
Nationally, there were 294,753 positive Covid test results in the week to November 25, up 2 per cent from the week before.
Northern Ireland has the highest infection rates in the UK, with 622 cases per 100,000 people, followed by South East England, with 578 cases per 100,000.
Scotland has the lowest rate, with 340 cases per 100,000.
. LONDON, ENGLAND - NOVEMBER 30: <Members of the public wear face masks on the high street on November 30, 2021 in London, England. From today it is mandatory for people to wear facemasks in shops and travelling on public transport or face a £200 fine. The Omicron variant of the Covid-19 virus is thought to be more easily transmitted and more resistant to vaccines than previous variants. There have been cases found in England and Scotland and a travel ban from several southern African countries has already been implemented. (Photo by Dan Kitwood/Getty Images)
Here are the Bristol areas with the highest Covid infection rates. Photo: Dan Kitwood
1. Shirehampton and Avonmouth
Shirehampton and Avonmouth recorded an infection rate of 763.2 per 100,000 of the population in the week leading to November 25, the highest in Bristol. The infection rate was up from 528.5 per 100,000 of the population the previous week - a 44.2 per cent increase. Photo: Google
2. Westbury-on-Trym
Westbury-on-Trym recorded an infection rate of 748.1 per 100,000 of the population in the week leading up to November 25. The rate was up from 514.3 the week before, a 45.5 per cent increase. Photo: Google
3. Whitchurch Park
Whitchurch Park recorded an infection rate of 639.0 per 100,000 of the population in the week leading up to November 25. This is a drop in cases however - the area had an infection rate of 728.2 the week before, a 12.2 per cent decrease. Photo: Google
4. Headley Park
Headley Park recorded an infection rate of 627.6 per 100,000 of the population in the week leading to November 5. The area saw in increase in its infection rate as this was up from 547.2 the week before - a 14.7 per cent increase. Photo: Google