The child’s mother can be seen on CCTV clambering onto the train line to rescue the child, making it back up onto the platform with just ‘seconds to spare’.
The family left the station following the incident on July 23, leaving London Underground workers worried for their safety, fearing that the child or their mother may have been injured.
Police are now asking any witnesses to come forward.
The British Transport Police released a statement on the incident, reading: “This was a frightening incident, not just for the scale of the danger the child was exposed to, but also because the woman then put her own life on the line by going onto the tracks.
“We urgently need to identify the people involved to ensure the child wasn't injured as a result of the fall onto the tracks.
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“I have taken the step of releasing CCTV of the people involved to highlight the very real concern we have for all involved.'
Chief Inspector Lawrie said: “This incident shows just how much respect rail passengers should have for the network.
Mother rescues baby from tube line
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Here, the father is seen tending to the youngster after getting off a tube train.
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He then goes upstairs to help with other family members.
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A gust of wind causes the buggy to wheel onto the platform...
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With the child still in the buggy and a train heading out into a tunnel, the buggy careers towards the line...
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The buggy is seen shockingly falling onto the tube line.
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The child's mother returns to find the youngster on the tube tracks.
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She climbs down onto the dangerous electric line to rescue the child.
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The couple are seen leaving the station at Goodge Street in London
“It is, when used incorrectly, a hazardous environment and the proper care should always be taken, particularly on busy platforms and in areas which are affected by the gusts of wind which can blow through tunnels.”
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Chief operating officer for London Underground, Phil Hufton said: “London Underground has an excellent and continually improving safety record and such incidents on the Tube are very rare.
“The safety of our customers is our number one priority and like on all railways we advise customers to take care when travelling on the network.
I urge anyone who knows the family involved to contact British Transport Police.”