AdBlock(Plus)
From the wikipedia article AdBlockPlus:
allows users to prevent page elements, such as advertisements, from being downloaded and displayed.
From official website section How does Adblock Plus work?:
it can block specific requests from websites, usually the requests to serve an ad.
NoScript
From NoScript website section Beyond JavaScript: blocking Java, Silverlight, Flash and other embedded content :
Java Applets, Flash movies/applications, Quicktime clips, PDF documents and other content won't be even downloaded from sites where you consider them annoyances or dangers, saving your bandwidth and increasing your navigation speed
Also as shown in The test: The effect of Firefox addons on bandwidth consumption, NoScript effect on bandwith is a lot more significant than AdBlock
-like add-on.
Conclusion
So it seems both use the same mechanism to prevent ads to appear.