I have added jsoup.jar, but why I can't import org.jsoup.Jsoup:

I've literally been searching for the exact same answer to this question. While searching - and finding - your question I also found this answer: https://stackoverflow.com/a/3643015/1087283 I copy and pasted the example from: http://xjaphx.wordpress.com/2012/02/04/android-xml-adventure-parsing-html-using-jsoup/ and it worked like a charm. Hope this helps.
You can do this...
import org.jsoup.*;
and it will import the JSoup module...
I had the same problem, and I solved it. The problem is that you added the javadoc jar instead of the core jar. On the download section of Jsoup, you probably downloaded the jsoup-version-javadoc.jar instead of jsoup-version.jar.
I had the same list of on the Eclipse completation, but well, of course the core was not there. So, just download the .jar file of the core, and add it as you did before.