Congratulations on your marriage.
You should be able to pursue permanent resident status for your husband from within the U.S.based on marriage to a U.S. citizen. This is generally known as the adjustment of status process and requires filing the I-130, I-485, I-765 (work permission), I-131, I-864 affidavit of support, I-693 medical etc.
You can find info on the green card process based on marriage to a U.S. citizen at:
http://srwlawyers.com/adjustment-of-status-marriage-to-u-s-citizen/
http://www.familytousa.com/green-card-through-marriage-ad/
There are important issues to be mindful of when pursuing the green card for him. For example, he will not be able to travel outside of the U.S. until at least after everything is filed and he receives his advance parole travel permission.
There may not be any employment gap based on his current EAD validity and obtaining a new one usually in about 60 days after everything is filed.
Overall there are specific consideratiosn applicable to an F-1 student that should be reviewed before you file anything.
Regards,
Andrew M. Wilson, Esq.
Serotte Reich Wilson, LLP
www.srwlawyers.com
awilson@srwlawyers.com
Answered on Jan 31st, 2013 at 10:31 AM