Rent in Torridge rose 5% over the past year, new figures show.
It comes as Propertymark, which represents estate agents, said selling property or turning to the short-term letting market is becoming a "more attractive" option for landlords.
Provisional figures from the Office for National Statistics show the average private rent in Torridge reached £745 per month in the year to October – up 5% from £710 a year prior.
It was also up 28% from an estimated £584 a month five years ago.
Valuation Office Agency rent officers collect prices from a variety of sources, including landlords and letting agents, with the aim to collect data on approximately 10% of the market.
Across the South West, the average rent was £1,145 – rising 6% from the year before.
Torridge had the lowest rental cost in the region, while the highest was in Bristol at £1,741.
Sarah Coles, head of personal finance at Hargreaves Lansdown, said: "Getting good news about your rent is about as common as discovering your housemates have washed up for you, or your landlord suggesting you get a dog.
"It means for many, the only way out of the endless cycle of rising costs is to buy, but this is far easier said than done when rents absorb so much of your income."
In October, the average private rent in Great Britain was £1,307 per month. This was £105, or 9%, higher than 12 months ago.
Nathan Emerson, chief executive at Propertymark, said: "As we continue to see a further increase in rental prices across the UK, our members continue to emphasise key concerns regarding the ongoing trend of lack of rental stock versus an ever-growing number of tenants looking for homes.
"Selling up altogether or turning to the short-term letting market is becoming a more attractive option for landlords due to the challenging legislative changes and increased financial liabilities they face."
The figures also show the different costs for various homes in Torridge, from £529 for a one-bed property to £1,222 for a home with four or more bedrooms in October.
Among the property types in the area:
- A detached housed cost £991 to rent per month
- A semi-detached cost £813 per month
- A terraced house was £742 per month
- And a flat or maisonette was £602 a month