You do not need to sponsor them. They need to seek an F2 visa and show they have sufficient ties to their country to insure their prompt return. Very difficult undertaking.
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Provisionally they may apply for an F-2 dependent status, provided, however, they meet all the requirements of the financial sustainability and the ties to the home country in this case.
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They should apply for F2's, with proof that you are their wife/parent, and proof of how they will support themselves without unauthorized employment for the duration of your studies.
The above is intended only as general information, and does not constitute legal advice. You must speak with an attorney to discuss your individual case.
Speak with an immigration lawyer about an F-2 visa. Good luck.
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You should go to the official US Consulate's web site in your country where your spouse and child will apply for F-2 visa and read the instructions. You will have to complete Forms DS-160 for each person and pay visa fees. After that you will be able to schedule an interview for them. They should take all the required documents to the interview (look at the web site), plus copies of your Form I-20, copy of your F-1 visa stamp, as well as original marriage certificate and child's birth certificate. Good luck!