A Nathaniel Knight-Percival brace ensured victory in a dominant display by Histon despite going a man down.
Eastbourne keeper Michael Johnson was busy from the start but was beaten when Knight-Percival latched onto John Kennedy's corner with his head.
Adam Tann was shown a straight red card for a professional foul on Liam Enver-Marum just before half time.
But the home side remained on top and doubled their lead when Danny Wright's cross was turned into the net.
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Histon: Naisbitt, Pope, Langston, Tann, Gwillim, Okay, Kennedy (Bygrave 46), Simpson, Knight-Percival, Barker, Wright (Frew 87). Subs Not Used: Welch, Joseph-Dubois, Crook.
Sent Off: Tann (44).
Booked: Langston, Bygrave.
Goals: Knight-Percival 27, 73.
Eastbourne Borough: Jordan, Austin, Elphick, Pullan (Baker 58), Jenkins, Nathan Crabb (Smith 66), Brown, Weatherstone (Johnson 65), Matt Crabb, Enver-Marum, Taylor. Subs Not Used: Knowles, Smart.
Booked: Jenkins, Brown.
Att: 633
Ref: S Burt (Northampton).
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