The German air force said the jets were based in Laage, near the Baltic sea port of Rostock.
All three planes were part of the Tactical Air Force Wing 73 - known as Steinhoff - a fighter wing that specialises in general air defence and is the chief training centre for Eurofighter pilots in Germany.
Some 400 Eurofighters - made by a consortium of Airbus, BAE Systems and Leonardo, are in service with militaries around the world.
Police warned the public not to approach the potentially unsafe wreckage from the planes.
Witnesses told local media that the crash, which was at around 2 pm local time, caused a loud bang.
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