Barnet moved up to fifth after exposing Wrexham's defensive frailties.
Liam Hatch opened the scoring on 58 minutes when he was left unmarked inside Wrexham's six-yard box to tap in Jason Puncheon's low cross.
The striker, who hit the bar in a dire first half, doubled the lead 10 minutes later when he benefited from a howler from home goalkeeper Michael Jones.
Eifion Williams almost pulled a goal back after a goalmouth scramble and then had a penalty shout turned down.
Wrexham: Michael Jones, Gareth Evans, Hope,
Mike Williams (Done 67), Spender, Mark Jones, Spann, Llewellyn,
Taylor, Proctor (Eifion Williams 46),
Roberts (Marc Williams 64).
Subs Not Used: Anthony Williams, Steve Evans.
Booked: Spender.
Barnet: Harrison, Devera, Burton, O'Cearuill, Nicolau, Carew,
Bishop, Wright, Puncheon, Birchall (Grazioli 87),
Hatch (Seanla 90).
Subs Not Used: Beckwith, Porter, Hendon.
Goals: Hatch 59, 69.
Att: 3,591
Ref: Ray Lee (Essex).
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