Can I still be able to get my husband his green card through marriage if he has an expired temporary work visa?

Generally a U.S. citizen may petition for a spouse to adjust status in the U.S. to become a Lawful Permanent Resident (to get a "Green Card") if the spouse entered the U.S. lawfully and with inspection, such as with a "temporary work visa." This is true even if the spouse may have overstayed his initial visa. In order for the USCIS to regard the couple as married, one of the requirements is that the spouses were eligible to marry at the time they became married. A person lawfully married to another person is not eligible to become remarried until that first marriage is terminated through divorce, death or annulment.