If I am about to marry my husband and I was born in the United Stated how can I fix his papers after we get married?

If your husband came to the U.S. with a visa and overstayed, you can file an immigrant petition for him, and he should get a green card within 8-10 months. If he entered the U.S. illegally, there is nothing you can do for him unless the Congress passes an immigration law reform. He might be able to get work authorization and Social Security number under the program called DACA (many people refer to it as "Dream Act"), but it has nothing to do with your marriage.

If he entered the US unlawfully, under the current immigration laws, even if you are legally married, he is not eligible to legalize his status within the US.

As a US citizen, you can file a Form I-130 Petition for Alien relative with CIS for your husband to become a lawful permanent resident LPR or green card. If he is physically present in US and if he is otherwise eligible to adjust, he can concurrently file a Form I-485 adjustment of status application along with your Form I-130 petition for him. A normal I-130 & I-485 application is usually completed within 6 months ( from filing to approval). However, note that there are a number of requirements that is necessary for a successful green card application, and they are too numerous to discuss in any significant detail in this forum.

You can apply for a green card on his behalf through marriage.