If you are running Firefox on a Windows OS based machine ...
Then you should see an orange-ish tab of sorts, near the upper left-hand corner of the Firefox window.
Click on it.
Look around in the resulting pop-down spread ... and find Options ... and click on that.
You should get a pop-out-to-the-side ... and find in that, another Options ... and click on that.
Next, you should be seeing an Options window. In that window, select the Advanced tool-button.
In the Advanced set of tabs that should result ... select Update.
Under Firefox updates, select:
“Never check for updates ...”
I’ve done that, it still updates without my consent......
That's weird. Mozilla tells me I'm running the latest version of Firefox (27.0.1) and I don't have any such orange-ish tab in the upper left hand corner of my browser window. My computer runs Windows 7.