Passengers walked along the tracks for more than five minutes because a fault with the track led a train to get stuck outside Shepherd's Bush station.
It came to a halt at about 18:00 BST on Wednesday.
TfL said the evacuation was "safe and routine". Passengers thanked crews for "leading them into the light."
It said it was investigating why the line which carried the electrical current to the trains was dislodged.
All affected customers have been offered a full refund.
Jasmin Barras, one of the evacuated passengers, said TfL staff were "fantastic".
"It only took five minutes to walk once we could get off the train," she said.
"But I was in the very end carriage so first to get off - it would have been considerably longer for people further down the train."
Commenting on Twitter, Helen Pratt said: "Well, that was fun on the Central Line in the dark. Thanks TfL for sending friendly staff to lead us into the light."
A TfL spokesman confirmed nobody was hurt and said: "Emergency staff attended and led passengers off the train and back onto the platform."

Glen Hunt, from Conars Court in Londonderry, must spend 10 months in prison with a further 10 months on licence
The attack happened at his partner's home in the Shankill area of Belfast on 3 September last year.
A Belfast Crown Court judge described it as a "shocking incident".
The court was told that Hunt returned to his partner's home after spending the day watching band parades and drinking. Prior to going home, the father of three got into an altercation with his partner's brother, who he claimed assaulted him.
A prosecution barrister said Hunt returned in an "intoxicated and agitated" state.
Hunt's partner was upstairs, and while in the bathroom she felt a thud to her shoulder. A struggle between the couple then ensued, during which she was pushed into the bath. She them saw Hunt raise his hand, and he struck her twice with a hammer.
The barrister said the woman was able to get the hammer from Hunt, adding "the struggle came to an end when her grandson came into the bathroom".
She left with the toddler, reported the matter to police and later sought hospital treatment for two wounds. She required stitches for a cut to her forehead, and also suffered a chipped tooth and a wound to her lip.
Hunt handed himself in to police in Derry three days later, and during interview made the case that he had been assaulted by his partner's brother. He said that when he got home, his partner was on the phone with her brother and that he was "in fear".
He subsequently pleaded guilty to wounding the woman, and to possessing the hammer with intent to commit assault.
The court heard the hammer used was already in the house. It also emerged that while Hunt has a criminal record of 25 convictions, there were no convictions for violent offences.
A defence barrister said there was no history of domestic violence between the two, adding that when Hunt returned home drunk after being assaulted, he felt in fear.
Passing sentence, the judge said that the woman was traumatised by the attack, and "continues to feel the after-effects of what was clearly a shocking incident".

Any player who dives or feigns injury in an effort to influence match officials will be liable for sanction.
At the 2015 Rugby World Cup in England, officials were instructed to sin-bin players who committed those offences.
Players who need to be substituted because of an injury following foul play will no longer count as one of their team's six allotted replacements.
And a change has also been made in the application of a maul law, punishable by a penalty.
It means a player in possession cannot slip to the back of a maul, with the ball having to be moved backwards hand to hand instead.
The changes have been in effect in the southern hemisphere since January.
England are scheduled to play a three-match Test series in Australia in June, while Wales play New Zealand in three Tests and Ireland are touring South Africa.
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Up to 350 Tube passengers were forced to walk through London underground tunnels after being evacuated from a train, Transport for London (TfL) said.
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A 53-year-old man has been jailed for attacking his partner with a hammer in the presence of her three-year old grandson.
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World Rugby has introduced a number of law changes to the northern hemisphere game in an effort to stop simulation.