Ealing, Hammersmith and Fulham and Hounslow councils have pledged to take 30 vulnerable and unaccompanied children from the Calais camp.
It follows Citizens UK's action to assess 30 children who qualify to be taken in from the jungle, before its demolition on Monday (October 24).
The pledge falls under the Dubs amendment agreed in May, which vows to take "vulnerable unaccompanied child refugees" who were already in the EU before March 20.
Hammersmith and Fulham Council will take 15 children, Ealing Council will take 10 and Hounslow Council will take 5, totalling the 30 children to be taken in following Citizens UK's action.
Ealing Council leader councillor Julian Bell, who visited the Calais camp in the summer, said: "No parent would want their child to live in a place like the jungle.
"We can’t simply standby and turn our backs on the plight of these children on our doorstep; instead we must open our arms to them.
"We are ready to do our bit in Ealing and I call on the government to step up, do the right thing, and provide the safe haven these children so desperately need."
'These children remain in a dangerous limbo'
Ealing Council is also considering if the borough could host a reception centre.
Earlier this month (October 12), councillors across all parties in Ealing voted in favour of the council backing a campaign to bring more unaccompanied refugee children into Britain.
Ealing Council will now join other authorities in Britain by backing civil liberties organisation Liberty and Help Refugees, with the pledge urging central government to give funding to local authorities so they can meet the needs of asylum-seeking children placed in their care.
The pledge reads: "We welcome the government’s commitment to create a resettlement scheme to bring unaccompanied refugee children in Europe to safety in the UK.
"We recognise and support the vital role that local councils can and should play in caring for children seeking sanctuary.
"We urge central government to provide funding to build the essential regional infrastructure necessary to secure the placement and support of children across the country and help us build them a brighter, safer future."
Rachel Robinson, policy officer for Liberty, said: "Almost half a year ago the Government agreed to help lone refugee children stranded in European countries. Now, despite looming demolitions, these children remain in a dangerous limbo.
"Ealing is among a growing number of local authorities offering to play their part in safeguarding children in desperate need. The Government must now keep its word and put these children’s lives back on track."