If your spouse does not live in the US or does not have an SSN or ITIN, it might be easiest to file Married Filing Separately.  Here are your options:

If you are filing jointly, without your spouse's SSN or ITIN, you won't be able to e-file, unfortunately.  IRS requires everyone on the tax return have either SSN or ITIN on the tax return.  To apply for an ITIN, you will have to file a Form W-7 separately.  

You would need to submit your taxes and apply for ITIN simultaneously with TurboTax program:

-In the program, as you enter the information, leave the SSN space blank

-After entering all your information, print out returns and required forms ( write APPLIED in the SSN space) 

-As TurboTax does not support the Form W-7, fill out the forms by following

 https://www.irs.gov/Individuals/General-ITIN-Information and attach to other required  documentation

-Submit everything including your tax forms to IRS Austin location in Texas.  ( Form W-7 instructions)

Or you can file Married Filing Separately.  You would not need to apply for ITIN for your spouse.  But you will not able to e-file either.  You can still use the program to prepare the tax forms but will have to submit by mail.  

To file separately without the SSN or ITIN: 

• In the program, leave the SSN space blank
• After completing the return, print out the forms.  Write “NRA” in the spouse's SSN space. ( NRA stands for Nonresident Alien). Do not leave the space blank. 
• Submit all the forms and required documents to IRS based on the instructions on your print-out.