Gov. Andrew Cuomo on Wednesday at a press conference took both veiled and direct swipes at Democrats in the state Senate who have been critical of his administration.

The governor’s relationship with Senate Democrats has been strained since top lawmakers there had criticized a now-shelved project for Amazon to bring up to 25,000 jobs to Long Island City tied to $3 billion in incentives.

At the same time, three Democratic lawmakers — Sens. Alessandra Biaggi, Jessica Ramos and Assemblywoman Yuh-Line Niou — blasted Cuomo for holding a fundraiser in March amid the budget talks, even as several Democrats, including those legislators themselves, had held fundraising events during the negotiations.

Cuomo was critical of Biaggi after The New York Times reported the Bronx freshman was in an argument with Sen. Kevin Parker. Biaggi in the discussion noted she had backed Parker amid calls for an Ethics Committee investigation into a tweet he had sent to a Senate Republican spokeswoman, Candice Giove, telling her to “kill yourself.”

The governor during the question-and-answer session was asked by NY1’s Zack Fink, who had reported last week that Biaggi quashed an investigation, about the incident.

“You cannot drop an investigation as a personal favor to another member,” Cuomo said. “That violates your fundamental responsibility. On those facts, yes, and that’s why I don’t want to comment on it any further because there may be a subsequent investigation.”

Senate Democrats, including lawmakers in the room at the time, deny Biaggi formally moved to block an investigation into Parker’s behavior.

“No investigation was ever dropped,” said Senate Democratic spokesman Mike Murphy on Twitter. “Incident was handled by leadership. Member was talked to and was made clear he had to take steps to ensure this would never happen again.”

Meanwhile, Cuomo took a less direct shot at Sen. James Skoufis, who has come under criticism for introducing a bill backed by the online rental site Airbnb. The bill is opposed by the Hotel Trades Council, which has pointed to an Airbnb-supported independent expenditure committee supporting Skoufis’s election.

Cuomo’s remarks came in the context about the effectiveness of publicly financing campaigns.

“You can almost track an interest that has a connection to a piece of legislation in Albany to an IE that is a multi-million dollar expenditure on that behalf,” Cuomo said. “I don’t think there’s any difference between Airbnb and 32BJ and charter schools or REBNY or the teachers unions, but this is where the money is coming from and it’s coming for a very specific purpose.”