Married last year, am a green card holder. Wife does nto have SSN or ITIN. dont want her taxed for us system. How can i file? she has a visit visa and is currently here in the US with me.

If she’s working in the US she’s doing so illegally. If she isn’t then there’s no income tax liability that she would be generating.

If she’s working a job in a different country remotely from the US then that’s a question that you should need a professional to answer but is likely generating some sort of tax liability

Married filing separately, put NRA for spouse’s social security number.