The President was referring to Deferred Action for Childhood Arrivals (DACA).
Introduced by the Obama administration in 2012, DACA allows people who arrived in the US illegally as children the right to work, study and live there.
It currently protects 800,000 people.
These young immigrants - also known as Dreamers - have lived much of their lives in the US and are now facing the possibility of being deported.
The prospect of deportation is grim for young people who have jobs, an education, homes and family members in the US.
Mr Trump said last year that he was ditching the scheme unless Congress sent him legislation by March to keep it.
The President last week rejected an immigration deal drafted by a bipartisan group of senators.
The deal included a pathway to citizenship for Dreamers and $1.6bn for border security, including Mr Trump's promised border wall.
Mr Trump tweeted on Sunday: "DACA is probably dead because the Democrats don't really want it, they just want to talk and take desperately needed money away from our military."
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