The decision to send the jets was made at a meeting of senior ministers in Berlin, which was called by Chancellor Angela Merkel after she agreed at talks with French President Hollande to provide military help in the international fight to crush Islamic State.
According to media reports, Paris wanted the Tornadoes to provide reconnaissance backup for the French military mission against Islamic State, which claimed responsibility for the terrorist attacks in Paris on November 13 that killed 130 people.
Merkel called the meeting in Berlin, which also included Foreign Minister Frank-Walter Steinmeier and Defence Minister Ursula von der Leyen, to consider what military steps Germany should take to help the anti-Islamic State coalition.