In the latest incident, two tyres on QF32 burst upon landing at Sydney at 8.20pm (AEDT) on Wednesday, the airline said.
The A380, carrying 244 people from Singapore, stayed on the runway to be assessed by engineers, while passengers were taken off.
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A Qantas spokeswoman said passengers disembarked soon after landing and no one had been in danger at any time.
'No emergency landing'
"It was not an emergency landing," she said.
The plane was still being inspected on the runway at 11.30pm (AEDT), with the cause of the incident still undetermined.
On Tuesday evening, a Qantas flight turned back to Sydney after a pilot discovered a problem with the third engine shortly after take-off.
The nearly full QF5 jumbo returned to the airport after dumping fuel over the sea nearby.
It landed safely about 6.15pm (AEDT), and about four hours later passengers were put on another flight.
