The Airbus A330 plane "encountered heavy rain and veered slightly off the runway on landing" yesterday, scheduled for 9:20 am (local time), before it was steered safely back, the airline said in a statement.
"The aircraft was towed to the gate and customers disembarked normally," the airline said in a statement, adding that a replacement plane was sent to Yangon for the return flight.
The plane, flight SQ998 on a daily route to Myanmar, was carrying 265 passengers and crew, the airline told AFP.
In January, one of the airline's A380 fleet was forced to make an emergency landing in Azerbaijan after suffering a drop in cabin pressure.
The flag-carrier subsequently said its investigation into the incident focused on a main deck door that appeared to have suffered a leak.
Singapore Airlines has 19 A380s with five others on order, operating on routes from Singapore to various destinations including Hong Kong, Frankfurt, London and Los Angeles.