Jason Puncheon missed a late penalty as in-form Barnet were held by Mansfield.
After an even first half, the visitors opened the scoring after the break when Simon Brown hit a crisp low drive beyond Lee Harrison from 18 yards.
Barnet hit back when Adam Birchall cut in from the left and found Liam Hatch who fired home a left-foot shot.
And the hosts wasted two chances to win it when Carl Muggleton saved Puncheon's penalty after Michael Boulding handled and Ashley Carew hit the post.
Barnet: Harrison, Devera (Hendon 69), Burton, O'Cearuill, Nicolau, Carew, Bishop, Porter (Thomas 70), Puncheon, Birchall, Norville (Hatch 46).
Subs Not Used: Beckwith, Seanla.
Goals: Hatch 71.
Mansfield: Muggleton, Mullins, Buxton, Baptiste, Martin (Ryan Goward 55), Hamshaw, Dawson, Bell, Arnold (Sleath 82), Brown, Boulding.
Subs Not Used: White, Kitchen, Holmes.
Booked: Dawson.
Goals: Brown 47.
Att: 2,041
Ref: Karl Evans
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