At least five board members who oversee the Rhode Island Heritage Hall of Fame have resigned from the organization after Michael T. Flynn, the former national security adviser under Donald J. Trump, was chosen to be inducted in 2024.

In resignation letters seen by The New York Times and in interviews, the board members said that Mr. Flynn, who has embraced conspiracy theories and is a prominent election denier, should not be recognized by the organization.

The hall of fame was founded in 1965 and recognizes people from Rhode Island “who made significant contributions” or who came to prominence for work they did while they lived in the state. Inductees in 2023 included Judge O. Rogeriee Thompson, the first Black person and the second woman confirmed to the United States Court of Appeals for the First Circuit, and J.L. “Lynn” Singleton, the president and chief executive of the Providence Performing Arts Center.

Mr. Flynn, who is from Rhode Island, was among those chosen to be inducted into the 2024 Hall of Fame class in a Dec. 13 vote by 19 board members. A cascade of board resignations followed, The Providence Journal and The Boston Globe first reported.

John Tarantino, a lawyer, and Bea Lanzi, a former state senator, resigned in a letter to Lawrence Reid, the president of the hall of fame’s board, and other board members. A copy of their joint letter, which was dated Dec. 14 and was provided to The Times on Friday, said that the vote result was “both disappointing and astounding to us.”

“There is an overall right and wrong in the universe, and what has happened here, in our view, and according to our moral compasses, and consciences, compels us to resign,” the letter said.