You can still apply for a green card your spouse’s criminal record doesn’t automatically disqualify the petition.

If your spouse was convicted of certain serious crimes, especially those involving violence, drugs, or sex offenses, USCIS will scrutinize the case more closely.

U.S. citizens convicted of specific crimes against minors may be barred from sponsoring a spouse under immigration law (Adam Walsh Act).

You might be asked about the criminal history at your interview, so be prepared to discuss it with supporting documents.