Matt Hancock claims tests are available in every part of the country, and said the public shouldn't believe stories that suggest otherwise.
People from up and down the country have told the Mirror they have struggled to get tested for Covid-19, with the Test and Trace website telling them none are available in their local area.
And people with coronavirus symptoms have been told to drive to test sites in different parts of the country in order to get vital tests.
But the Health Secretary told the BBC: "The message to people is do come forward, there are tests available.
"By the way there are tests available in every part of the country.
"Do not believe these stories when they appear on newspapers saying there aren't test available here, there are tests available in every part of the country."
Have you tried to get a test and been told none were available in your area? Let us know by emailing [email protected]
Mr Hancock also suggested the government had considered reducing the number of tests available to care homes in order to see "fewer bad headlines".
"We've got a 100,000 tests a day going into care homes," he told Times Radio.
"I could have dialled that down because it would have created less noise and given fewer bad headlines in the Times but it would have been the wrong thing to do.
"And so we've kept the prioritisation of testing in care homes."
He added that building the system capacity had been an "extraordinary effort".
And he defended Test adn Trace chief Dido Harding, who suggested yesterday that the current surge in demand had not been predicted.
He said they expected a rise in demand, but the Government had not predicted so much demand from people without symptoms.
He told the BBC: "Of course we knew that demand was going to go up. Whats happened is that demand has become incredibly high, including amongst the people who do not have symptoms, who are not eligible for tests."
He added: "It's gone through the roof."
Mr Hancock repeated Boris Johnson's promise that the Government would increase coronavirus testing to half a million per day, up from a quarter of a million per day currently, by the end of October.
"We're doing that by getting more machines into the labs, we're installing those as we speak," he said.
"We're hiring more people to run them because it is a logistical exercise as well as the scientific parts of it, just to get the samples into the right slots.
"We're automating that process which is important. That's on the current technology, then there's the much-discussed next-generation technology."
Mr Hancock referenced a new testing system, created by company DnaNudge, which is reported to provide results of coronavirus tests in 90 minutes.