Work had begun early March on building three new taxiways to help aircraft exit runways faster, allowing an increase in the number of take-offs and landings.
Around 600 people have been employed to work on the second phase.
The taxiways are part of a VND2 trillion ($87.4 million) project to upgrade the largest airport in Vietnam, which has suffered overloading for years.
The first phase, upgrading the 3-kilometer runway and building connecting paths, began in July last year alongside similar work at the Noi Bai International Airport in Hanoi.
The Tan Son Nhat International Airport has a designed capacity of 25 million passengers a year, but since 2017, it has been serving nearly 40 million, and the overload lead to rapid deterioration of its runways.