We noticed that with the upcoming Firefox 32 release , which is currently in Nightly build, the browser will use Google's secure browsing database to check files you download from the Internet. For each executable file you download, Firefox will perform a check against the online database provided by Google. The current Firefox 31 release comes with a similar option, but it uses a local database and does not send any requests to Google websites.
Firefox 32 will continue to use the local database, however, if the file is not there, Firefox will send the information to Google. Many of you may find this indifferent, but if someone does not want all their movements to be recorded by Google, following the instructions below they can disable the feature for better privacy protection.
The information that Firefox will send to Google includes the file name, file size, and download URL. It also includes a hash value calculated from the above information. This allows Firefox to reveal all information about your downloads to Google. To disable the feature,
Open a new tab and type the following text in the address bar:
about:config
Confirm that you will be careful in your interventions. With a lot of humor, the Firefox developers will make you promise that you will be careful because you will lose the product warranty!

Type the following text in the search box
browser.safebrowsing
You will see many of the settings related to safe browsing.

To disable Safe Browsing requests in Google's database, find the parameter browser.safebrowsing.appRepURL and delete the string or value. How? Simply double-click on the parameter and remove the text as in the image below:
After deleting the URL, click OK.
To disable safe browsing mode, just set the browser.safebrowsing.enabled to false.
That was it!

