"I have received many honors in my lifetime, however none touch my heart as much as being recognized by the people of my home state Louisiana," the musician known for "Blueberry Hill" and "Ain't That a Shame" wrote in a letter.
Family friend Cleo Banquer delivered the letter, saying Domino didn't feel up to the 150-mile trip from Harvey, where he is living with his wife and daughter.
Domino still plans to perform at the 2006 Jazz & Heritage Festival in New Orleans this May, Banquer said.
Hurricane Katrina seriously damaged the Ninth Ward home where Domino rode out the storm before being rescued.
"Hurricane Katrina led a path of destruction through my home," Domino wrote. "However, she would not destroy my faith in God and my love of music and my fans."
A display about Domino's life, including album covers and a brief biography, occupied a third of a museum wall. A special citation of appreciation from the Broadcasting Music Industry accompanied the exhibit.
Domino has been a member of the Rock 'n' Roll Hall of Fame since it began in 1986, and of the Songwriters' Hall of Fame since 1998.