If you are legally married and your spouse does not have a Social Security number or an ITIN issued by the IRS then you will have to file as Married Filing Separately.
See this TurboTax support FAQ for filing jointly versus separately - https://ttlc.intuit.com/turbotax-support/en-us/help-article/taxation/better-married-couple-file-jointly-separately/L338QHg8G_US_en_US?uid=m4hm3nzt
Your spouse should apply for a SS number if eligible or apply for an ITIN through the IRS.
Go to this IRS website for how to apply for an ITIN - https://www.irs.gov/individuals/how-do-i-apply-for-an-itin
Go to this IRS website for a Form W-7 - https://www.irs.gov/forms-pubs/about-form-w-7
You can apply for an extension if the number will not be available before the 2024 tax return due date of April 15, 2025. An extension will give you until October 15, 2025 to file a 2024 tax return.
If you are a US citizen or US resident and your spouse does not have a Social Security number or an ITIN and you are not applying for an ITIN with the tax return then you can only file your tax return as Married Filing Separately. Where asked to enter the spouse's Social Security number enter 999-88-9999. You can only print and mail your tax return, it cannot be e-filed. When you print the tax return erase the Social Security number for your spouse and manually enter NRA for non-resident alien.
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