Goals from Ashley Barnes and Nathan Crabb guided Eastbourne to victory leaving Lewes in further trouble in the Blue Square Premier relegation zone.
The hosts started brightly with David Wheeler and Chris Breach going close.
After an hour an excellent Crabb pass found Barnes on the edge of the box and he drilled home a powerful right-footed shot to give the visitors the lead.
Eastbourne piled on the pressure and in the dying seconds Crabb headed in Andy Atkin's cross to seal the three points.
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