The centre, offering testing to people without coronavirus symptoms, has opened at the Hub at Ashmore Park.
It will be open five days a week between 10am and 6pm, except Wednesdays and Sundays.
James Clarke, Chairman of Ashmore Park Community Association, said: "Being a local organisation, made up of local people, we have seen the disruption and devastation the pandemic has caused on our doorstep and we were keen to do anything we could to help.
"Sadly, our building has been closed since March in order to protect both our visitors and volunteers, so when we were approached by the council to use the Hub as a rapid testing site we didn't hesitate.
"Ashmore Park has seen one of the highest infection rates in the country and rapid testing is one way of breaking the chain of transmission and protecting our loved ones, so I'd urge anyone without symptoms to visit The Hub for a lateral flow test – you'll get your result within an hour."
Councillor Jasbir Jaspal, Wolverhampton Council's cabinet member for public health and wellbeing, said: "We are very grateful to the team at the Hub at Ashmore Park for enabling us to establish a rapid Covid-19 testing centre there.
"Well over 30,000 rapid tests have been completed in Wolverhampton since December, with around 4.5 per cent of tests coming back positive.
"Those who have tested positive have subsequently been able to self-isolate, which will help break the chain of transmission and reduce the spread of the virus."