The couple was introduced by Blunt's sister, actress Emily Blunt, whom Tucci worked with in the 2006 film "The Devil Wears Prada."
A father of three, Tucci was previously married to wife Kate, who died in 2009 from breast cancer.
Tucci was nominated for a Tony Award in 2003 for his performance in Frankie and Johnny in the Clair de Lune. He was also seen on Broadway in The Queen and the Rebels, The Misanthrope, Brighton Beach Memoirs, The Iceman Cometh and Execution of Justice. He also directed the 2010 Broadway revival of Lend Me a Tenor.