Get your taxes done using TurboTax

You can File Married Filing Jointly but you wouldn't be able to claim your child as a dependnet without a Social Security Number or an ITIN. 

After you report your spouse's information , there will be a question where you can say that you wish to report your spouse a resident for tax reporting. You will need to leave the Social Security Number blank. See the screenshot at the bottom of this post illustrating where you will make this election.

Now, you will need to go to the Social Security office and apply for a Social Security number for both your husband and child. You can also fill out an ITIN application and include this in your return. You may download the form here. If you plan on staying in the US though, I'd suggest applying for a Social Security number for both your husband and your child.

You won't be able to electronically file your return without a Social Security Number or ITIN.  You will need to print and mail this and Turbo Tax will give you complete filing and mailing instructions. Here's the screen you will see to elect to report your non-resident spouse claimed as a resident for tax filing purposes.