Homeowners could see their property taxes cut by up to $2,000 under a sweeping $1.7 billion relief program unveiled Wednesday by Gov. Andrew Cuomo.

Renters would be eligible for savings of as much as $750 in New York City.

Speaking at Hofstra University, Cuomo said property tax relief will be the top budget priority to kick off his second term, as it was in his first term.

“You have no long-term future if you’re the tax capital of the nation,” he declared.

“The flight of young people? It’s taxes. The flight of businesses — that’s taxes [too],” he said.

Of the 1.3 million eligible for property tax breaks, 209,000 would be New York City homeowners.

The rebates would be based on income, with a cap of $250,000 for homeowners and $150,000 for renters.

Anyone paying more than 6 percent of their income for property taxes would be eligible.

Average relief for NYC homeowners was estimated at $872.

In Nassau County, where property taxes are much higher, average savings were put at $1,208.

About 1 million tenants with incomes under $150,000 would be eligible for a tax credit of up to $750 in the city and $500 elsewhere.

Cuomo said he will press for the tax reduction program in budget negotiations with the Republican-run state Senate and Democrat-controlled Assembly.

The governor said it’s a follow-up to actions taken in his first term to impose a 2 percent annual cap on property tax increases and a subsequent freeze.

“This will be the first time there is an actual cut,” he said.

Cuomo proposed rebates for renters last year as well. But the proposal was blocked in the Legislature.

Cuomo said the program would have a “phase-in” period that might take more than a year to implement.