Donald Trump has tweeted saying he gives his "deepest gratitude" to the first responders and emergency crew who dealt with the Hoboken train crash in New Jersey.
He also offered his condolences to those people involved in the accident.
Governor of New Jersey, Chris Christie, and governor of New York, Andrew Cuomo have discussed the train crash in Hoboken that left one woman dead and over a hundred injured.
They reiterated that so far there was just one fatality, and 108 people injured, with the injured in varying conditions from those who could walk in to hospitals, to those who had to be taken in by ambulance.
They said that the one fatality was due to debris from the station, and not from the impact of the crash, underlining the importance of assessing and repairing structural damage to the station.
Drawn on why the accident happened, Governor Christie rejected press speculation and said: "We don't know why it happened. The one thing we know is that the train came in at much too high a speed."
The two governors said that an investigation was underway to attempt to find out what happened. Governor Cuomo said: "If there's something to learn then we will be sure to learn it and incorporate that lesson."
While some services like the PATH train service could be resumed by rush hour, they said, they could not say when all services would be fully resumed, only saying that the station would be opened once it was safe.
Hillary Clinton, the presidential candidate for the Democrats, has tweeted about the accident saying the photos coming from the train crash are "horrifying".
She also offered her prayers with people who were injured or lost loved ones in the accident.
- Footage: James Leight
Several short videos taken by someone in Hoboken train station shows the impact of the train crash on the terminal structure and on passengers in the vicinity.
The ceiling of the terminal can clearly be seen collapsed onto the train and the platform ground in the footage.
The videos also show emergency services responding, and stunned victims being treated outside the station in the immediate aftermath of the accident.
An emergency phone call made from Hoboken station describes "major casualties" and "people trapped on the train", following the crash.
The caller also describes "heavy structural damage" and calls for support at the station.
A businessman has described how a commuter train going "way too fast" crashed into the station at Hoboken, New Jersey.
David Potter, 29, was in the station when the train "jumped the track", adding: "The ceiling looked like it was caved in with wires hanging, and people were running.
"An officer led us to the street where they began closing everything off. Ambulances [and] police officers were covering the scene and people were laying down outside hurt."
Mr Potter regularly uses the station for his work commute, said that he saw an "older gentleman" who was "bloody on his face" being sat down and talked to by ambulance personnel and an officer.
At least one person has died after a train crashed into a Hoboken station, New Jersey Governor Chris Christie has said.
Earlier reports said that three people had died, but that number has since been revised.
Three people are being treated for serious injuries following the Hoboken train crash.
A spokesperson for Jersey Medical Centre, where those injured in the crash have been taken, said those in a serious condition were being treated by trauma surgeons for orthopaedic and internal injuries, and "deep lacerations".
The spokesperson added that around 10 other patients were being treated in the emergency room, while 40 walk-in patients were being evaluated.
They continued that the situation in the hospital was "all hands-on-deck" and that they were not expecting any more patients.
Two people have been confirmed to have died following a train crash at Hoboken train station in New Jersey, local news sources have said.
Earlier it was reported that three people had died but it has now been revised, WNBC reports.
One of the dead is believed to be a young woman in her thirties who was standing on the platform at the time of the crash.
More images have emerged of the devastation at Hoboken train terminal after a train crashed into it.
Witnesses have said that it did not seem to stop as it approached the station, and it is currently unclear how the accident happened.