Lufthansa chief executive Carsten Spohr said that "the stabilisation of Lufthansa was successful, and is also paying off financially for the German government and thus for the taxpayer".
Its shares have significantly outperformed European rivals this year in the face of rising fuel prices and recession fears.
Lufthansa has fallen 10 per cent, while Air France-KLM has dropped 30 per cent, British Airways owner IAG is down 33 per cent and easyJet 43 per cent.
The rescue of Lufthansa was one of several for airlines across Europe, including in France and Italy, as governments stumped up billions of euros.
The bailouts underlined the strategic importance governments attached to airlines, which are also significant employers. A willingness of European countries to take equity stakes contrasted with the approach of US and UK governments and led to a backlash from some competitors.
Michael O'Leary, chief executive of low-cost Irish airline Ryanair, said the state support amounted to subsidies that would prop up inefficient airlines and distort competition.
Despite returning to profit last quarter, Lufthansa has not been without its travails this year.
The carrier lost tens of millions of euros when its ground staff went on strike in July. This week, pilots agreed to no further industrial action until next year after the airline promised to increase their pay by €980 a month.
-By Madeleine Speed and Philip Georgiadis