TMZ said Chaney, 36, was sentenced Monday.
He was arrested last year and in March pleaded guilty to nine felony charges, including identity theft, wiretapping and unauthorized access and damage to a protected computer.
Chaney was accused of leaking nude photos of actresses Johansson and Kunis on the Internet.
Prosecutors said Chaney hacked into the phones and email accounts of dozens of others, as well, including singer Christina Aguilera and actress Renee Olstead.
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