ALBANY — Gov. Andrew M. Cuomo’s feud with President Trump has covered all manner of topics, including taxes, immigration policy and whether America was ever “great.”

Now, however, the governor has brought their skirmish to a whole new battleground: marriage.

In an end-of-year kibosh, Mr. Cuomo has vetoed a bill that would have permitted federal appeals and district court judges from around the nation to preside over nuptials in New York, thus denying them inclusion on a lengthy list of those so empowered, including the governor himself.

And like the decision to tie the knot, the reasoning for Mr. Cuomo’s disapproval — signed on Friday — was distinctly personal.

“I cannot in good conscience support legislation that would authorize such actions by federal judges who are appointed by this federal administration,” he wrote. “President Trump does not embody who we are as New Yorkers.”