The hosts, who had scored eight goals in their last two home games, may have even won the contest had substitute Cliff Akurang not missed a simple headed chance late in the game.
Indeed Darlington would have had few complaints had they conceded after finding themselves outplayed for large periods of the game by a side some ten places and 25 points behind them in the League Two table.
The visitors appeared subdued for much of the game with a pre-match floodlight failure having appeared to have taken much of the spark out of their game.
It was Darlington that appeared to have been caught in the headlights in the opening minutes as Barnet laid siege to the visitors' goal at every opportunity.
The pace and power of Albert Adomah proved a constant menace to the Darlington backline as Dave Penney's men took their time to settle in north London.
It was Adomah who threatened to break the deadlock just before the 20 minute mark after striding some 70 yards up the Underhill slope unchallenged before firing a rasping effort wide of David Stockdale's goal.
The game slowly descended into a monotonous affair with the majority of the crowd possibly wishing the lights had stayed off as neither side managed to display any real quality in a physical and often ugly contest.
Any moments of spark and inspiration came from the home side and it was Kieran St. Aimie that came closest to finding a way to goal, the Barnet winger sending a speculative overhead kick inches wide of the Darlington goal.
The second-half proved a virtual non-event with both teams failing to find any real rhythm, although Darlington's Tommy Wright should have done better than slash horribly wide when clean through.
Barnet boss Paul Fairclough threw on Jason Puncheon and Akurang as the home side looked to make the breakthrough.
It was the introduction of Akurang that caused panic in the Darlington defence but the giant striker failed to head home from just three yards after being left all alone at the far post.
With time running out, both teams pushed forward in search of a winner with Darlington's Jason Kennedy coming within inches of beating Lee Harrison from long range, while Adomah came close for Barnet, heading just past the post from six yards.