The new council-run sites, offering pre-booked Covid-19 rapid tests, opened in Madeley at The Anstice on Tuesday and in Newport at Cosy Hall on Wednesday.
Several pharmacies are also offering rapid tests across Telford and Wrekin with more set to open in the coming weeks.
People can book rapid tests online at each of these sites and results will be available in 20-30 minutes.
The rapid, lateral flow tests are available to residents who do not have any symptoms – those aged 11 years and over can book at a pharmacy and those over 16 can book at a council run site.
Telford & Wrekin Council is encouraging those who can’t avoid leaving home for work to get a rapid test every three to five days.
These new sites are in addition to the rapid test site at The Place in Oakengates.
Liz Noakes, Telford & Wrekin’s director for public health, said: “One in three people who have coronavirus never show any symptoms but they still can be infectious.
“Testing people without symptoms will help us to identify and disrupt the chain of infection.
“It might seem odd to get a test when you feel well, but the earlier we can find positive cases the quicker we get people into isolation to prevent the spread of this virus.”