The Supreme Court says in a statement that Ginsburg died at home Sunday from complications of metastatic cancer.
The Ginsburgs celebrated their 56th wedding anniversary last week. They met on a blind date as undergraduates at Cornell University.
Martin Ginsburg was an expert in tax law and taught at New York University, Columbia University and Georgetown University over the course of his career.
Survivors also include two children, Jane and James.
A private burial will take place at Arlington National Cemetery.
