If he does not have a Social Security number or an ITIN and you are not applying for an ITIN for him, then you will have to file as Married Filing Separately. Where asked for the his SS number enter all 9's. You will have to print and mail the tax return. When the return is printed erase the spouse's SS number and manually write in NRA for non-resident alien.
See this TurboTax support FAQ for the procedure to print a tax return using the online editions - https://ttlc.intuit.com/questions/1944348-how-do-i-print-and-mail-my-return-in-turbotax-online
