It comes as record levels of the crime were reported by three-quarters of police forces in the aftermath of last year's EU referendum.
In some areas the number of incidents jumped by more than 50%.
A human rights organisation has said the country should prepare for the possibility of further spikes in offences once the Brexit process has begun .
However UKIP leader Paul Nuttall has said that such incidents have been "overblown" in an attempt to "rubbish Brexit".
The figures provide the first complete picture of hate crime recorded by police in England and Wales following the referendum on June 23.
They show that in the three months ending September 2016:
- 33 out of 44 forces recorded the highest quarterly number of hate crimes since comparable records began in April 2012
- Three forces each recorded more than 1,000 hate crimes: the Metropolitan Police (3,356), Greater Manchester (1,033) and West Yorkshire (1,013)
- Only four forces reported a decrease on the previous three months
In the three months ending in September this year, the Metropolitan Police recorded 3,356 cases of hate crime, an increase of 20% from the same period a year before.
City of London had 25 in the same period, which is a decrease of 7%.
Across England and Wales, there were 14,295 reports, a rise of 27%.
The Equality and Human Rights Commission (EHRC) said the findings suggested a small number of people used the Brexit vote "to legitimise inexcusable racism and prejudice", while the charity Victim Support said that more needed to be done to encourage victims to come forward.
Provisional figures on hate crimes published by the Home Office in October 2016 suggested that offences in July 2016 were 41% higher than in July 2015.
The new analysis shows that a rise in incidents was seen in almost every force in England and Wales, both year-on-year and when comparing the three months either side of the referendum.
David Isaac, chairman of the EHRC, said it "must be sensible to prepare for any possible spikes" in hate crime once Brexit negotiations got under way.
"The vast majority of people who voted to leave the European Union did so because they believed it was best for Britain and not because they are intolerant of others," he said.
"It is clear, however, that a small minority of people used the Brexit vote to legitimise inexcusable racism and prejudice.
"We cannot allow such intolerable acts of hate to be condoned or repeated.
"The triggering of Article 50 is the next major milestone and we must do all we can to discourage hate attacks and to support people who feel at risk."
Lucy Hastings, director at Victim Support, said the charity last year supported 16,000 victims of hate crime in England and Wales and confirmed a spike in referrals in the immediate aftermath of the referendum.
She said the rise could be linked to increased publicity about hate crimes, which "encouraged more people to report or seek support".
"Hate crime has no place in our society and every victim of this crime is one too many," she said.
"We believe that more needs to be done to further encourage reporting.
"This includes making third-party hate crime units more accessible to the public."
The Home Office said Britain had some of the strongest legislation on hate crime anywhere in the world.
"The Home Secretary has been crystal clear that crime motivated by hostility and prejudice towards any group in society has no place whatsoever in a Britain that works for everyone," a spokesman said.
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