H4 Driving Licence
Tax ID will not be given to persons who are not filing tax for the current year. If he can file with the principal H1b applicant then the Tax ID would be given. Many states give Driving License without SSN.
eg., at Maryland they accept a self declaration that the applicant does not have SSN and the details furnished by him are true and process for Driving License. This self declaration form is given by MVA during verification of documents at the window itself.
Moreover many states have ruled out issuing SSN and TIN for the purpose of obtaining Driving License. So check out the MVA/DMV wesbsite of your state for required documents. If they insist for SSN, you can obtain from the other state when you move in there.