If you’re married and one spouse has an SSN and one spouse has an Individual Taxpayer Identification Number (ITIN)

Only the spouse with the SSN will receive the first and second stimulus check. The exception to this rule is if one of you is in the military, then you are both eligible for both stimulus checks, even if one of you has an ITIN and one of you has an SSN.

Previously, for the first stimulus check, both spouses needed to have SSNs. In a mixed status couple, the spouse with the SSN was only eligible if they filed separately (with an exception for people in the military)

The expanded SSN rules for the second stimulus check are retroactive and now apply to the first stimulus check. If you were denied your first stimulus payment because both you and your spouse did not have SSNs, you can claim your first stimulus check as the Recovery Rebate Tax Credit on your 2020 tax return. See the chart and examples below for further explanation of how this works.

See this link for the chart
https://www.eitcoutreach.org/blog/are-immigrants-eligible-for-the-stimulus-check/