Lufthansa's passenger traffic rose 1.1% in July, while average load factors remained stable across fewer flights.
Revenue passenger-kilometres reached 20.9 million, and passenger numbers grew 0.4% to 10.3 million.
For the seven months ending 31 July, traffic was up 0.1% at 152 million RPKs and passenger numbers down 0.2% at 59.8 million.
July's seat load factor showed a decline of just 0.1 percentage points, to 84.1%. The number of flights fell 2.3% to just under 66,200.
Swiss International Air Lines' traffic increased 3.3%, while Austrian Airlines' fell 1.1%, despite the Vienna-based carrier increasing capacity 0.8% to 2.1 million available seat-kilometres.
Load factor was unchanged for Lufthansa and its European low-cost arm Germanwings, but traffic grew 0.9% to 15.4 million RPKs.
The group's traffic to North and South America showed strongest growth, rising 4.2% to around 7.3 million RPKs, but load factor fell 0.2 percentage points to 90.5% as capacity was increased.
Traffic to Africa and the Middle East fell 14.2% to 1.6 million RPKs. This was mainly due to Ramadan, says Lufthansa, which had cut capacity nearly 9%. Load factor fell 4.7 percentage points to 75%.
Asia-Pacific traffic climbed 2.6% to 4.9 million RPKs, with load factor stable.
European traffic grew 1.2% to 7.1 million RPKs, and load factor 0.6 percentage points to 80%.
Lufthansa Cargo boosted traffic 1.2% to 742 million cargo tonne-kilometres, but the load factor was down 1.6 percentage points at 68.3%.