Is there any problem for marriage a F-1 student?

A United States green card holder can sponsor a Spouse who is on an F1 student visa. The priority dates for your sons category on the visa bulletin board department of state website is "current" as of today's date. So if his spouse stays "in status", then he could sponsor her and she could file for adjustment of status to get her green card. You should retain counsel anywhere in the United States for legal representation, to handle the case from start to finish.