Figures from the Office for National Statistics show 131 people in Teignbridge said they were Gypsy or Irish Traveller in the 2021 Census. Of them, 20 said they had bad or very bad health – 15% of the cohort.
Meanwhile, 5% of the total population in the area reported poor health.
It meant the Gypsy and Irish Travellers community were three times as likely to be in poor health.
It follows trends across England and Wales, where 12.5% of those who identified as Gypsy or Irish Travellers reported having bad or very bad health compared to 5.2% of the overall population.
A spokesperson from Friends, Families and Travellers said: "Chronic exclusion from health and social care settings means that Romany Gypsy and Irish Traveller people experience the poorest health outcomes in the UK, and these findings are testament to that.
"Behind the numbers, there are generations of Gypsy and Traveller families grappling with a significantly reduced quality of life as poor health has a knock-on effect on education, employment and social opportunities.
"Health and social care providers must do more to ensure services are inclusive and able to support the needs of Gypsy and Traveller families."
Most people who identified as Gypsy or Irish Travellers reported being in good or very good health (72.3%). However, this percentage was lower than for the England and Wales population (82.0%).
The ONS said that while health is related to age – with younger people more likely to report better health – those who identified as Gypsy or Irish Traveller had a younger age profile than the general population. Therefore, poorer health of this group cannot be explained by age.
In Teignbridge, 89 Gypsy or Irish Travellers said they were in good or very good health (68%) while 22 were in fair health (17%).
A government spokesperson said: "We are committed to levelling up the health of the nation so everyone can live longer, healthier lives, regardless of their location or background and we have always prioritised the NHS by backing it with the funding it needs."
They added £10 million will be provided to improve Traveller sites and provide people in the community with easier access to healthcare and education.
"Our Major Conditions Strategy will tackle the risk factors that lead to health disparities among different communities – including Gypsy and Traveller communities," they said.