Gov. Andrew M. Cuomo continues to hold a wide lead over his Republican opponent, even after a drumbeat of criticism over his office’s hobbling of ethics investigations, according to a Siena College poll released on Monday.

Mr. Cuomo was viewed favorably by 57 percent of likely voters, the poll found, and 58 percent said they would vote to re-elect him, compared with 26 percent for his Republican challenger, Rob Astorino, the Westchester County executive.

The statewide poll was conducted from Aug. 4 to 7, after Mr. Cuomo had been battered with criticism over his handling of an anticorruption commission he established and then abruptly shut down. The involvement of Mr. Cuomo’s office in the operations and closing of the panel, called the Moreland Commission, is now being investigated by federal prosecutors.

The poll, like others before it, found that voters overwhelmingly believe that corruption is a serious problem in New York State government. And about half of likely voters said they would not trust either Mr. Cuomo or Mr. Astorino to clean up corruption in Albany.