Women police officers are being issued with headscarves to wear when they visit a mosque.
They are expected to put the scarfs on shortly before they enter the mosque, in keeping with Islamic custom.
There are two versions - one matches the black of a police officer's uniform, while another goes with the blue uniforms worn by community support officers.
The headscarves are being given out by Avon and Somerset Police, and have the force's emblem sewn on.
They have already been given to seven officers, including Assistant Chief Constable Jackie Roberts, and eight community support officers who work with Muslim groups in the area.
Mrs Roberts said: 'It recognises and respects the cultural and religious practices of our communities. This is a very positive addition to the uniform and one which I'm sure will be a welcome item for many of our officers.'
The force said the scarves, which cost £13, can be used in other religious settings as a mark of respect - for instance to cover the shoulders of a non-uniformed officer in a church.
Islamic custom expects women to cover their head inside a place of worship.
During an official visit last year, the Queen wore a headscarf to tour the crypt and caverns of an historic Islamic shrine in Turkey.
Rashad Azami, Imam and director of the Bath Islamic Society, said: 'It is highly pleasing to see that Avon and Somerset Constabulary is introducing specially designed head coverings for female officers.
There are two versions of the head covering - to match the black of a police officer's uniform and the blue of the police community support officer's uniform
'This will go a long way in encouraging a trustful relationship between the police and the Muslim community. The police have been working closely with the Muslim community for the last few years.
'We hope this step will further strengthen the mutual relationship.'
Avon and Somerset Police caused a race row two years ago when it rejected 186 white job applicants at the first stage of selection.
The force received 800 applications for 180 jobs and 'deselected' white males to increase ethnic diversity. Chief Constable Colin Port apologised.
This year, the fire service unveiled full-length skirts, hijab headscarves and long- sleeved shirts for Muslim women recruits to wear in fire stations and for events such as school trips.