The Santa Monica apartment, which Bulger rented with his girlfriend Catherine Grieg for 16 years until he was arrested in June 2011, has two bedrooms and two bathrooms.
The rent is said to be $2,950 a month.
Bulger, 84, is serving a life sentence in federal prison for 11 murders.
About $822,000 in cash was found hidden in the walls of his apartment when he was arrested three years ago.
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