Upvote:7
To summarize things:
I am assuming that you are a US citizen.
Your husband should apply with the normal documents that prove ties to the third country where you are staying; just as if he was applying for a B2 normally. These include - bank statements, salary certificate, property (if applicable).
If I recall correctly, in the visa application there is a place where you tick if you have overstayed or if you have been deported before; I believe in the same area where it asks if you have ever been convicted, etc.
During the interview process, you can explain the situation - be honest, do not lie - do not embellish, and do not volunteer extra information.
The likely hood of him being accepted/denied is up to the strength of your application and the interview process; no one here can tell you anything more concrete than that.