The separations and detention of children at the southern U.S. border with Mexico have caused an uproar in the United States and condemnation abroad, fuelled by videos of children in cages and audiotape of children wailing for their parents that has been broadcast on cable networks and posted on social media.
"The Trump Administration's policy to tear apart families is a moral failing and a human tragedy," Cuomo, a Democrat, said in a statement announcing the lawsuit.
Cuomo said that separating parents and children at the border violated their rights under the U.S. Constitution, U.S. Supreme Court precedents and a 1997 legal settlement that set standards for the treatment of children detained for immigration reasons.
A spokesman for the Trump administration could not immediately be reached for comment on the New York lawsuit.
U.S. officials have defended the measures as a way to secure the border and deter illegal entry. Trump, a Republican, has made a hardline stance on immigration a centrepiece of his presidency.
The policy has led to family separations because when border agents refer apprehended migrants to court for prosecution, parents are held in federal jail to await trial by a judge while the children either remain in border patrol custody or are moved into facilities managed by the Office of Refugee Resettlement, a Department of Health and Human Services agency.
Cuomo said he would direct several state agencies to begin legal action against the Trump administration on behalf of some 70 children being held in at least 10 federal shelters in New York state.
(Except for the headline, this story has not been edited by NDTV staff and is published from a syndicated feed.)
Get Breaking news, live coverage, and Latest News from India and around the world on NDTV.com. Catch all the Live TV action on NDTV 24x7 and NDTV India. Like us on Facebook or follow us on Twitter and Instagram for latest news and live news updates.