But some people don't have to wear coverings for various reasons - like if they have breathing problems or another form of disability which would make a mask difficult to put on.
Many of these issues are not easy for other people to spot straight away. To help people with these conditions carry on their daily lives as usual, charity Hidden Disabilities has created a sunflower badge to let shop workers and others know that they are exempt from face coverings.
Here we look at the badges and who is eligible for one.
Who does not have to wear a face covering?
There are a range of people who are exempt for professional reasons from wearing face coverings, like police officers and paramedics.
But the Government has said that respiratory problems and other disabilities are a "reasonable excuse" not to wear coverings in shops and on public transport.
How can you show that you're exempt?
You don't have to carry any badge or other written proof that says you're exempt from face coverings.
But if you're concerned about being stopped, there are a number of options available.
You could make yourself a home-made card that says you're exempt.
There is a Government-issued badge you can use either in printed form or on your phone, which is available for download here. Transport for London has also made an exemption card, which can be used on TfL services and with other transport organisations. Both are free.
Alternatively, you could buy a plastic card from the Hidden Disabilities charity for 55p. The cards are also free to pick up from Sainsbury's and Tesco stores, as well as some other supermarkets.
The Hidden Disabilities website says: "Businesses who are members of the scheme are aware of our card and provide support, help, assistance or simply a little more time to those wearing the Hidden Disabilities Sunflower.
"However, please note that shops and public transport can still refuse you entry if you are not wearing a face covering."