The national disease control center, the Robert Koch Institute, said 1,045 cases were recorded on Wednesday - the first time since May 7 that it has counted more than 1,000 new cases in a day.
Germany's approach is similar to that in neighbouring France, which requires travellers from some countries to take COVID-19 tests at airports and ports.
"What we are seeing is a lot of small outbreaks", Health Minister Jens Spahn told reporters.
Daily figures can be volatile or distorted by delays in reporting, and the number is still far short of the peak of more than 6,000 reached in early April.
"Travelers returning to Germany from risk regions will face mandatory coronavirus tests from Saturday". The sparsely populated state has been Germany's least affected by the pandemic, with 910 positive tests for Covid-19 and 20 virus-related deaths among its 1.6 million residents.
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Travellers to Germany from high-risk areas were previously required by individual states to stay in quarantine for two weeks, but testing remained voluntary.
The Christian Democrat politician pointed out that to this end they have begun to mount in all German airports with global flights stations to take the tests, although centers are also being prepared for travelers arriving in Germany in train or vehicle those tests are submitted as soon as they enter the country.
"I'm very effectively conscious that this impinges on particular person freedoms, however I consider that this can be a justifiable intervention", Spahn mentioned. "I do not accept the premise that whoever can afford a vacation can also pay for a test", said Spahn, who stressed that "the test issue should not become a social issue".
Germany's COVID-19 response has been widely regarded as relatively successful.
"Every previously undiscovered infection that we find through these free of charge tests makes a difference", said Spahn.
Image: German Health Minister Jens Spahn briefs the media about the developing of the coronavirus crisis test strategy in Berlin, Germany, Thursday, Aug. 6, 2020.