Of the $11 billion, $8.8 billion would go to housing vouchers and $2.2 billion to more short-term assistance.

In his 2017 budget, to be presented on Tuesday, President Obama will propose spending $11 billion over the next 10 years on family homelessness, a phenomenon that is closely linked to the dearth of affordable housing in New York and other big cities.

NEW YORK — After making progress in reducing homelessness among veterans, the Obama administration is turning to the larger and more complicated challenge of homelessness among families with young children.

Homelessness among veterans has dropped by 36 percent around the country since 2010, and in several cities, including New York, Houston, and New Orleans, the decreases have surpassed the national average.


But family homelessness has proved more persistent as low wages fail to keep pace with skyrocketing housing costs in many cities.

In New York, Mayor Bill de Blasio has endured repeated criticism for his handling of homelessness, and many shelters have remained near or at capacity.

Nationwide, about 64,000 families are homeless, including roughly 123,000 children. More than half of homeless families with children were in five states — New York, California, Massachusetts, Florida, and Texas, according to data from the 2015 annual homeless count by the Department of Housing and Urban Development.

About 26 percent of homeless families were in New York state, which had the largest one-year increase in family homelessness from 2014 to 2015, with the bulk living in New York City. As of Wednesday, about 12,000 families with children were in shelters overseen by the city’s Department of Homeless Services.

“We can see that in New York City specifically, there is a tremendous need,” said Julian Castro, the federal housing secretary. “As New York City goes, so goes the nation.”