What is a spouse?
The government defines spouse as a lawful husband or wife, which must be established by submitting certain documentation. If the marriage was entered abroad, it must be a legal marriage in the US. Same-sex marriages qualify for green card benefits in the US. Fiancees or couples who have not legally married do not qualify.
Immigration Process Overview
Marriage to a US Citizen is one of the several categories under which an individual qualifies for U.S. residency. In addition, there is also a separate preference category for spouses of green card holders. There is a multi-part process for your foreign national spouse to become a legal immigrant, and the process is different if you are in or outside of the US:
Conditional Residence
If you have been married less than two years at the time of the green card application, your spouse will receive Conditional Permanent Residence (CPR) and a green card valid for two years. Ninety-days prior to the expiration of the card, you must both file a joint I-751 Removal of Conditions Application with USCIS to establish that you have a bona fide marriage. More information on that process can be found here.