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The man jumped in to save the woman just after midnight last night, but found himself in trouble.
The woman was eventually rescued by the Coastguard, along with another man who entered the river in an attempt to save her.
However, after a search failed to find him, the unidentified man's body was discovered at around 06:00am this morning, police confirmed.
A spokesperson for the City of London Police said: "We were called at 12.12am on Saturday April 24 to reports of a woman in the River Thames close to London Bridge.
"Two men, who had witnessed the woman fall from the bridge, entered the river to try and save her.
"The Coastguard and Metropolitan Police Marine Units were able to rescue the woman and one of the men.
"Sadly, following an extensive search involving police helicopters, marine units, LFB, LAS and City Police officers, the missing man was not located.
"At 6am the same morning, a body was found believed to be that of the missing man.
"His next of kin have been made aware and are being supported by officers from the City of London Police."
This incident comes just one day after a boy fell into the Thames from Tower Bridge.
The 13-year-old boy is still missing after falling from the bridge at around 08:00am on Tuesday morning.
Specialist officers from the City of London Police are investigating, and the case is currently still being treated as a missing persons case.
Witnesses said that a bystander waded into the waters in an attempt to find the boy after seeing him fall, but could not locate him.
That woman was only able to retrieve the youngster's school bag.
The police said that despite an 'intensive search' involving officers, marine units, and helicopters, they were unable to find the boy.
Matt Jones, the executive principal of the Ark Globe academy, where the boy was a pupil, said that the boy had alighted the bus near to the bridge before his usual stop closer to the school.
In a letter to parents, Jones explained: "On the morning of Tuesday April 20, [he] did not make his way into school despite travelling on a bus with a friend in full school uniform.
"He got off the bus near Tower Bridge before his usual bus stop nearest to Ark Globe academy and fell into the River Thames.
"At this moment in time, police are treating this case as a 'missing persons' incident."
He added: "This is obviously distressing news for the young person's family, friends, and the wider Ark Globe community.
"As a school community, we are dealing with this sensitively so as not to compromise the integrity of the police investigation and we wish to respect the privacy of the family while the investigation is ongoing. Our hopes and prayers are with the family at this very difficult time."
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