New York Democratic Gov. Kathy Hochul went on a rant Sunday against US border policies, demanding “a limit on who can come across” and more agents to capture illegal migrants.

“It is too open right now,” Hochul told CBS’s “Face the Nation” of the country’s southern border with Mexico — where a record-setting 260,000-plus migrants crossed over just last month.

“We want [Congress] to have a limit on who can come across the border. People coming from all over the world are finding their way through, simply saying they need asylum, and the majority of them seem to be ending up in the streets of New York, and that is a real problem for New York City,” the Democratic governor said.

“It’s in our DNA to welcome immigrants. But there has to be some limits in place,” Hochul said.

“Congress has to put more controls at the border,” she said. “Talk about eliminating positions for Border Patrol, well, we actually need to double or quadruple those numbers.”

Her comments come as New York City continues to grapple with the more than 110,000 migrants who have arrived in its care since the spring of last year.

Hochul has lobbied for state funds to help shelter and feed the wave of migrants, including to pay for a massive tent city erected on Manhattan’s Randall’s Island this summer.

New York City Mayor Eric Adams has said the cost of housing and feeding the influx of migrants will likely hit $12 billion over three years, threatening scores of Big Apple services.

In August, Hochul blamed the White House for the migrant mess, saying President Biden needed to step up and provide more help as the state drowns in the migrant flood.

She said Sunday it was Republicans, including GOP House Speaker Kevin McCarthy, who are refusing to work with Biden on the crisis.

Hochul has also pushed back against the city’s “right to shelter” law, which guarantees New Yorkers the right to housing, a rule that asylum seekers have been benefiting from.

“The original premise behind the right to shelter was, for starters, for homeless men on the streets, people experiencing AIDS, that was [then] extended to families,” the governor said last month.

“But never was it envisioned being an unlimited universal right, or obligation on the city, to house literally the entire world,” she said.

Adams has been trying to tweak the rule to try to free up more housing for those most in need.