The two maintenance staff, aged 24 and 26, were part of a SMRT team sent to investigate an alarm from signalling equipment.
Nasrulhudin Najumudin and Muhammad Asyraf Ahmad Buhari had only joined SMRT in January this year.
The accident happened about 150m from the station platform and the train was travelling about 60km/h.
The team was moving in a single file on the walkway beside the track, when the accident occured. A supervisor was leading the team with the two victims directly behind him, and the rest of the team behind them.
The team was walking in the opposite direction to the oncoming train and it is not yet known how the two men got on the track or close enough to the train. Nobody else was hurt in the accident.
All trainees and permanent SMRT employees are trained on safety issues before they can access the track.
SMRT chief Desmond Quek was questioned why workers were doing maintenance work while trains were still were running. His response was that it was standard operating procedure for its crew to investigate every track fault, no matter what the time was.
In a statement the Minister of State (MOS) for Manpower Sam Tan said:
"I am extremely saddened that two young workers had lost their lives while undergoing on-the-job-training at the workplace in the unfortunate incident at Pasir Ris MRT station this morning. My deepest condolences to their families.
MOM is currently investigating the incident to find out what happened and to prevent a similar incident in future. Safety at the workplace is of paramount importance. We must all do our part and work together to ensure a safe working environment for all workers."
Two men in Singapore who were undergoing on-the-job training have died after a train accident near Pasir Ris station.