Gov. Cuomo tried to make political hay out of the GOP tax-cut plan by launching one of his sanctimonious lectures against Republicans. But this time, he got caught.

Speaking to reporters Thursday, the gov ripped into the four New York House Republicans who voted for the plan, calling them “treasonous” because the bill scraps the deduction for state and local taxes (SALT). Losing that write-off will hit some New Yorkers hard because state and local taxes here are so high.

Cuomo claimed that he’d spoken to “all” the Republicans and “they all had the same line, which was, ‘Well, you know, my political leaders are forcing me to vote for it.’ ” His message to them: “You don’t work for your political leaders. You work for the people who elected you.”

One huge problem: Three of those Republicans say they never spoke with Cuomo. And the one who did said the issue of pressure never came up.

Cuomo’s office was quick to backtrack, admitting that he’d never spoken to at least two of them but that others “said they were under pressure,” without identifying who the governor meant.

Rep. Tom Reed of Corning is the only Republican who confirms speaking with Cuomo. But the only thing they discussed, he says, was the tax bill’s details.

And, he adds, the governor — despite pretending otherwise — wasn’t concerned with middle-class taxpayers but with himself: High earners, Cuomo reportedly warned, will flee the state, blowing a big hole in his budget.

Cuomo’s right about the risk of losing wealthy New Yorkers. As Brian Riedl points out in a Post column, the biggest impact of losing the SALT deduction will be felt by those who earn the most, and they may flee to lower-tax states.

But does Cuomo suddenly want to fashion himself as the Great Protector of juicy tax deductions for the rich?

In any case, putting phony words into other people’s mouths only further undermines his credibility. “I knew the governor was a bully, but I didn’t know he was an outright liar,” says Reed.

Yet more reason to ignore Cuomo’s huffing and puffing about that SALT deduction.