All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad 
  is His slave and Messenger. 
We are not aware of any evidence that prohibits a man from having sexual intercourse with his wife on 'Eed eve. A man may have intercourse with his wife on this night and at all other nights provided there is no religious impediment like menses or postpartum bleeding.   
Allaah Knows best.