Health authorities registered 318,387 cases in 24 hours, the Robert Koch Institute said, compared to the previous high of 294,931 a week earlier.
The latest daily figures showed 300 coronavirus deaths, compared to 278 a week earlier.
In another indicator of the rapid spread of the virus, the RKI said on Thursday that for the first time more than 1.5 million cases were reported in Germany in one week.
Since the pandemic began, the RKI has counted 19,596,530 COVID-19 infections and 127,822 deaths with the virus.
More than 15 million recoveries have been recorded.
The true number of cases and deaths is thought to be much higher, as many infections are not detected.
Restrictions introduced to curb infections at federal level are in the process of being phased out, with only certain mask-wearing rules to remain in place nationally from April 2.
However, since Sunday, states have been able to bring back rules locally if they declare a location to be a "hotspot".
"There is no freedom day, there is no reason to let up," Health Minister Karl Lauterbach told MPs in Berlin.
He called for solidarity to get through "this heavy wave of the pandemic".
