The German airline says it will make a new wage offer in a bid to end an escalating dispute.
Pilots of passenger planes at the carrier are due to walk out on Wednesday (September 7) and Thursday (September 8).
Cargo pilots are set to stop work from Wednesday through Friday (September 9).
Among other demands, unions want a pay rise of 8.2% for next year in response to soaring inflation.
The new strike plans follow a stoppage last week that forced the cancellation of hundreds of flights.
That added to a summer of travel chaos.
Earlier this week, Lufthansa chief Carsten Spohr said the airline planned to hire 20,000 new staff.
The air travel industry is ramping up again after a slump in demand during the global health crisis.
Lufthansa shares rose over 1% in morning trades on Tuesday.
