The families found by officers, after leaving a lorry near Boroughbridge last night, have been placed in temporary accommodation, the county council has confirmed.
A lorry was seen stopping on the A168, near the junction 48 turn off on the A1M, last night before a group of people disembarked.
Officers attended the scene and traced a number of the group, including a Lithuanian lorry drover and three Kurdish men who were all arrested.
A mother and three children, a young woman and a single mother with two children were also taken to Harrogate Police Station but were then transferred into the care of the local authority.
North Yorkshire County Council has now confirmed that they have found temporary accommodation for two families as well as one young person.
A spokesperson said: "“North Yorkshire County Council’s Children and Young People’s Service responded to a police request to find temporary accommodation for two families and one young person.
"The service will continue to work with the police and other agencies.”
Officers are still searching for five men of Asian appearance who they believe are still missing from the lorry and were seen walking north on the A1 last night.
The searches for the missing men are continuing and police have appealed to Boroughbridge residents to report any sightings of them.
Police said that door to door enquiries in the Boroughbridge area are ongoing as well as searches of land and outbuildings.
They are also appealing to members of the public to check their sheds and outbuildings for signs of occupation in case any of the missing men have taken shelter there.
Anyone with any information is asked to contact North Yorkshire Police on 101, select option 1 and pass information to the Force Control Room.
If you have an immediate sighting of the men, please call the police on 999.