When localization is turned on within a site, there are additional prompts at the top of the report editors:

Localizing a Report Description

The Localize button is used to provide a localized title and / or description of the report for each locale you have defined.

Within the Translate Messages and Prompts administrative utility, it is possible to translate all the report titles and descriptions on a single screen.  After entering the utility, choose the target language and then Select Metadata Category of REPORT.  You will see a screen similar to the one below:

On a single screen, you can localize both the Report Title and the  Report Description.