Hi again Ritche,
Justification is not a "text box" propperty, the text will justify within a box but you have to send the command to a paragraph.
[code:1:a57040ae1b]tell application "QuarkXPress Passport™ 4.11"
tell document 1
tell page 1
tell text box 1
set justification of paragraph 1 of story 1 to right justified
end tell -- text box 1
end tell -- page 1
end tell -- document 1
end tell -- Quark
[/code:1:a57040ae1b]
Hope this helps!