File photo- A Lufthansa Airbus A380 lands in Frankfurt, Germany.AP
It said it would also avoid using Iranian and Iraqi airspace until August 21, an extension from a previous date of August 13.
Affected passengers can rebook or cancel their journeys free of charge, Lufthansa said, adding that it regretted the inconvenience caused "due to the current situation".
Also on Monday, Air France and its subsidiary Transavia France again extended the suspension of their flights to Beirut, through Wednesday, August 14.
The flights have been suspended since July 29 and their resumption "will be subject to a new assessment of the situation on the ground", Air France said in a statement. The French carrier continues to serve Tel Aviv's airport.
Other airlines have also modified their flight schedules in the region recently.
Tensions have soared as Iran and its allies vowed revenge against Israel for the high-profile killings of Hezbollah's top military commander Fuad Shukr in Lebanon and Hamas political leader Ismail Haniyeh in Israeli strikes in Lebanon and Iran late last month.
Hezbollah has been exchanging near-daily fire with Israeli forces across the border between Lebanon and Israel.
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