Jake Hyde scored twice as Barnet held Oxford but dropped back to the bottom of the Football League.
Hyde opened the scoring in the fifth minute with a looping header from Mark Byrne's corner, but Sean Rigg levelled moments later with a powerful shot from James Constable's knockdown.
Andy Whing headed his first U's goal seconds after the restart from Peter Leven's free-kick.
But Hyde converted Ricky Holmes's cross at the near post for a point.
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