It depends if you want to file separately or jointly.
Without your SSN or ITIN, you won't be able to proceed to e-file, unfortunately. You will have to paper-file. It might be easiest to file Married Filing Separately, then you will not need to apply for an ITIN. If you want to file jointly, you will need to apply for an ITIN. Either way, you won't be able to e-file and must paper file your taxes. You can still use the program to prepare your tax forms but submit by mail. Below are the steps how you enter info in the program:
To file separately without the SSN or ITIN:
To file jointly, you basically file and apply for the ITIN together: