The numbers of households with care leavers aged 18 to 20 threatened with homelessness in the past year increased by 9% on the previous year, and those already homeless and owed a relief duty grew by 6%.
On average in England among the general population, those threatened with homelessness increased by 0.3% and homelessness grew by 1%.
It follows a trend of homelessness among the youngest care leavers which campaigners say is growing more acute.
Last year's figures show that homelessness among households with the youngest care leavers in England increased by 21%, compared to around a 12% more broadly.
A third of care leavers become homeless within the first two years of leaving care.
A government spokesperson said it was "unacceptable" that care leavers faced the risk of homelessness.
"Our Homelessness Strategy will set out bold steps to prevent homelessness and deliver lasting solutions, and our landmark Children's Wellbeing and Schools Bill will require public bodies to consider the support young people need when leaving care," the spokesperson said.
The Conservatives have been approached for a comment.