karedog, thanks for your reply!
I have already tried adding +1. Actually, initially my code was with that "+1" (copied from some forum as is) and afterwards I deleted it.
Moreover, that bug was present only till Office 2000 according to Microsoft site, while I have Ofiice 2010.
Anyway, this thing was not the case...
My sorting was written like
meanwhile on many forums I saw sorting, written in 1 line:
After changing my sorting from "With Range() ... " to 1-line code, everything worked!
However, still do not know, what the differences are 
Thanks again!
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