The first two Syrian families will be settled in Kirklees before Christmas.
The council has agreed to take its share of those fleeing the war torn Middle Eastern country.
The two families are likely to be given council houses but a decision on where to house future refugees in Kirklees has not yet been made.
Calderdale Council has said it will take 50 refugees but Kirklees has not yet declared how many it will settle.
Clr Graham Turner told a meeting of all councillors that they would take further refugees over the next two years.
He said the funding would come from government through the Vulnerable Persons Relocation Scheme.
This will cover housing, health and school costs, and there is some scope for reclaiming staffing costs.
“We are not dealing in quotas,” he said. “Kirklees has made an offer based on what we feel able to fully support.
“We will know how many people are coming around four to six weeks before they arrive, but that may be longer if there are refugees with complex needs.
“Under the scheme, there is priority for survivors of torture or violence, women and children at risk, and those needing medical care. Refugees are still subject to immigration and visa rules, and those with criminal pasts are excluded.”
He added: “Our priority is to move the refugees into safe, secure and supported housing. We have been working on this for some time to make sure we identify appropriate homes, and in the right location
“I am sure they will need intensive support from a range of services.
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“Once here, there will be a number of assessments, for example health and social care, education and school places, access to finance and initial benefits, mental health support and support to learn English where needed.”
At a debate last night councillors agreed something needed to be done.
Clr Andrew Cooper said the UK intake of 20,000 over five years was “pitifully small compared to the rest of Europe”.
Clr Erin Hill said: “They’re usually people who’ve gone through hell and people who need our help.”
Clr Andrew Marchington said the intake was “nowhere near enough”.
“It’s about recognising our part in the global community,” he said.
“We need to do a bit more I think.”
Deputy leader of the Kirklees Conservatives, Clr David Hall, said he agreed with the government’s move to focus help on camps within Syria.
He added: “We should be proud that Kirklees is playing its part. We’ve got a lot of goodwill on this issue.”
Clr Kath Pinnock said: “That highly charged picture of that boy face down brought it home that we are talking about people fleeing for their lives.”
Clr Shabir Pandor, who helped with a refugee aid scheme last month, said: “The sights I saw were really heartbreaking. We don’t take enough refugees in this country.”
The resettlement programme in West Yorkshire is being co-ordinated by Migration Yorkshire, a regional partnership which works with national and local government, statutory, voluntary, community and private sector organisations to manage migration to the region.
Clr Turner paid tribute to the existing voluntary and community groups in Kirklees that support refugees and asylum seekers every week.
