Generally, immediate relatives, asylees, and refugees can adjust their status to get a green card.  You qualify to submit an adjustment of status application if you meet these eligibility requirements:

• You’re eligible for the green card type you’re applying for.
• You’re physically present in the United States and came in on a valid visa.
• You’re in lawful status.
• You have an approved I-130 or I-140 petition if you’re not filing a concurrent application.
• Your priority date is current if you’re in a “preference category” (meaning, you have to wait for a visa number for your green card application type).
• You’re on a K-1 fiancé visa, and you’ve married your U.S.-based spouse while your visa is still valid.
• You’ve waited at least one year since U.S. Citizenship and Immigration Services (USCIS) granted you asylum or refugee status.
• You’re eligible for adjustment of status under Section 245(i) of the Immigration and Nationality Act (INA) – the heart of U.S. immigration law.