The pair was found with what has been described as “knife wounds”, the Daily Mail reports.
The couple has three children Jake, Nick and Romy.
Reiner is the adoptive father of the daughter of his first wife, the late actress and director Penny Marshall.
Representatives for Reiner are yet to comment.
Reiner was a prominent director, his work included Stand By Me (1986), Princess Bride (1987), A Few Good Men (1992) and The Bucket List (2007).
He was also known for his acting, appearing in New Girl, The Bear and The Wolf of Wall Street.
Celebrities have paid tribute to the director and his wife.
Elijah Wood, who worked with the director in the 1994 movie North, said he was “horrified to hear of the passing of Rob Reiner and his wonderful wife Michelle".
“So much love to their kids and family.”
Ben Stiller said Reiner was “one of my favorite directors”.
“He made some of the most formative movies for my generation. He came out form behind a huge comedic shadow of the great Carl Reiner and being a tv actor to being a a great director who made an incredible run of movies.
“Spinal Tap is one of the best comedies ever made - and the list goes on. He was a kind caring person who was really really funny. I didn’t know him well but was always a fan and I feel a real sadness for those who did, and his family.”