The plight of Penn Station commuters has no end in sight.

Transit officials said Tuesday they have no idea when full service will be restored at the rail hub following a “minor” derailment — and admitted they don’t even know how the accident happened.

“It is our plan to have service restored as quickly as possible,” Scot Naparstek, chief operating officer of Amtrak, explained at a press conference.

“I cannot tell you when that is, as of now,” he said. “Any estimate I would have is premature and is likely to be wrong until I have more information.”

Amtrak, which owns the tracks, is investigating the cause of Monday morning’s New Jersey Transit derailment — and is still probing one of its own trains going off the rails March 24.

Naparstek had no explanation for either incident.

“At this point, I don’t have any further details until I know causes,” Naparstek said when asked if the derailments could be related.

More than 750,000 people pass through Penn Station each day — and the chaos has screwed up commutes on Amtrak, New Jersey Transit and Long Island Rail Road.

“We hear and understand [commuters’] frustrations as we too are frustrated with the unacceptable burden our customers have endured in navigating around the two derailments at PSNY in one week,” said NJ Transit spokeswoman Nancy J. Snyder.

When a track is out due to an incident or investigation, Amtrak, NJ Transit and LIRR must split the remaining lines according to a predetermined agreement, a source said.

On Tuesday, LIRR was down to five tracks instead of nine.

The middle three cars of a Northeast Corridor train derailed Monday at slow speed as the locomotive pulled into Track 9 at Penn Station around 9 a.m. after departing from Trenton.

There were five minor injuries and the incident shut down service on eight of 21 tracks, Naparstek said.

Riders were still seething Tuesday as they tried to figure out how to navigate the delays.

“They need get it together!” fumed Frank Fleming, a decked-out Mets fan who explained in a viral online rant Monday how the commuter madness made him miss the start of the Mets’ home opener.

“They’re sending us running around everywhere. I ended up missing the opening ceremony, and the opening pitch, which is the best part,” the 41-year-old told The Post. “I’m tellin’ you, it was like that movie ‘Planes, Trains and Automobiles’ — only it was subways, PATHs and Ubers!”

Additional reporting by Natalie O’Neill