Tamworth moved nine points clear of Barrow and the relegation zone thanks to goals from Danny Thomas and Kyle Perry either side of half-time.
Barrow could have led but Clark Masters kept out Ben Wilkinson's shot.
Thomas converted Perry's cross from close range for the opener and Perry doubled that lead with a header from six yards out.
Andy Cook and Louis Almond went close for Barrow and Paul Rutherford had a shot tipped just wide.
Barrow: Masters, Mike Pearson, Jones (Cook 58), Bolland, Edwards, Rutherford, Baker, Hulbert (Spender 10), Nicholas, Chadwick, Almond. Subs Not Used: Shaun Pearson, Goodfellow, Blundell.
Tamworth: Atkins, Courtney, Wylde, Marshall, Barrow, Sheridan, Daniel Bradley, Wilkinson, Smith, Thomas, Perry (Christie 89). Subs Not Used: Connor, Mitchell, MacKenzie, Kamara.
Goals: Thomas 42, Perry 54.
Att: 874
Ref: Scott Duncan (Tyne & Wear).
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