Paul Rutherford saw his late effort hit the post for Barrow as they were held to a draw by play-off chasing York.
Jonathan Smith went closest to a goal for the visitors, when he fired over from six yards.
Richie Baker fired wide and also saw an effort saved by Michael Ingham as the home side looked for a late winner.
They came close to finding one when Rutherford hit the post from close range but the sides had to settle for a point each.
Barrow: Masters, Spender, Bolland, Mike Pearson, Edwards, Rutherford, Baker, Sheridan, Ferrell, Curtis, Cook. Subs: Shaun Pearson, Goodfellow, Toner, Nicholas, Almond.
York: Ingham, Darville, Chris Smith, Parslow, Meredith, Chambers, Kerr, Jonathan Smith, Till, Constantine, Rankine. Subs: McGurk, Reed, Hatfield, Racchi, Boucaud.
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