The home of 10-year-old Azharuddin Ismail's family in the slums of Mumbai was recently demolished, along with numerous other makeshift dwellings, at the direction of city officials.
A director for the trust told the BBC an apartment found for the boy and his family this week is "comfortable, in a good neighborhood (and) near his school."
Boyle said he also hopes to help find a new home for 9-year-old "Slumdog" actress Rubina Ali before the monsoon rains, which are expected to begin in June.
The little girl's previous slum dwelling was also razed this month and she reportedly has since been staying with relatives.
"The homes are a concern. That is one of the reasons why we built the trust," the BBC quoted Boyle as saying.
"We have been trying to accelerate the process of re-housing the families, and one of the reasons we set up the trust is to deal with emergencies like this," said "Slumdog" producer Christian Colson.
"Slumdog Millionaire" won the Academy Award for best picture of 2008 and Boyle won the directing Oscar.