In Hounslow, racist and religious hate crime shot up from 465 in the year to March 2015, to 654 in the following 12 months - an increase of 46%.
In Ealing, such incidents rose by 41%, from 465 in 2014/15 to 654 in 2015/16, according to Met Police figures.
Across London, the number of hate crimes recorded rose by 18% over the same period, to 14,471, against an overall increase in crime of 4.1%.
Detective Chief Inspector Mark Broom, crime manager at Hounslow police, said reports of hate crime tend to increase in the wake of terrorist attacks, like the killings in Paris and Brussels.
Man arrested over spate of racist graffiti
He said there had been a spate of racist graffiti in Hounslow before Christmas, as reported by getwestlondon , and a man had been arrested and remained on bail in connection with those offences.
"Because of that we worked particularly hard to raise the profile of people reporting hate crime to us," he told getwestlondon .
"We want people to inform us if they see offensive graffiti so it can be removed as soon as possible."
He added that Hounslow police had a dedicated hate crime officer working with other agencies to address the issue and to raise awareness.
And he said police thoroughly investigated every report of hate crime, and looked to see if it was an isolated incident or part of an emerging trend.
The Met's annual crime statistics showed reports of knife and gun crime and rapes were up during 2015/16 , as the overall number of offences recorded rose by 4.1%.
Rise could be connected to terrorist attacks
Bessie White, of Hounslow Friends of Faith, works to improve relations between people of different religions in the borough.
"Certainly the police have been doing more to encourage people to report hate crime, so I hope that may be responsible for at least some of the increase," she told getwestlondon.
"Whether the recent incidents in Paris, Brussels, Istanbul, Ankara and Lahore were also a factor I don't know.
"Those incidents tend to prompt people to take their feelings out against a group of people they wrongly believe to be associated.
"We know people locally deplore these atrocities and don't feel any association. People have asked me 'why do we keep having to say it's not in my name - of course it's not in my name."
Huge increase in reports of Islamophobia in Hounslow
In Hounslow, there was a 176% increase in reports of Islamophobic crime, from 29 in 2014/15 to 80 the following year.
Shafiq Rehman, general secretary of Hounslow Mosque, said the spike in hate crime only showed part of the picture, with many offences going unreported.
"You always see a rise in hate crime after global incidents like what happened in Paris and Brussels, which is ironic because it's Muslims who are suffering most at the hands of terrorists globally," he said.
"We're lucky in Hounslow there hasn't been anything serious but hate crime is on the rise and we have to work with the council and police to address this."
Mr Rehman added that the mosque had hosted various events to improve community relations, including inter-faith conferences and football sessions for youths.
getwestlondon has contacted Ealing police but has not received a response.
Hate crime offences by borough
|Borough||Offences 2014/15||Offences 2015/16||Percentage change|
|Hammersmith & Fulham||351||402||15|
|Kensington & Chelsea||354||431||22|
* figures from Met Police website