I am from the US and in my family we have always used repurposed items to hold pens and pencils. Are you referring to something specifically made for holding writing tools? If so, you may have found one of those special "untranslatable" terms unique to a particular language--congratulations!
If I had to refer one of our miscellaneous cups or jars, I might call it a "pen holder" or "pencil holder," but more likely I would just say "that cup with the pens and pencils in it." I've never encountered a special term for them. In the photo is an example--it's a souvenir cup of sentimental value that got chipped, so rather than throw it away we repurposed it to hold pens, pencils, and sometimes other miscellaneous small things.