Neil is right about the genitive (boss's) being technically more correct, but it is a rule which is rarely observed nowadays.
Personally, I'm more worried about the mismatch between 'articles' (plural) and 'it' (singular). I'd use one of these versions:
No articles can be published without the boss revising them first.
No article can be published without the boss revising it first.
I also wonder about the word 'revising'. Do you mean that the boss looks at them to make sure that they're OK? In that case, 'checking' would be better, or maybe 'editing'.