Barnet and Stockport fought out a goalless stalemate at Underhill which did nothing to aid either side's hopes
of securing survival.
Stockport keeper James Spencer kept Barnet at bay, saving from Dean Sinclair after he had broken clear.
Spencer saved Ian Hendon's close-range header, while Liam Hatch and Simon King both failed to work the Hatters' keeper when well-placed.
Stockport's best chance was a speculative drive from Tes Bramble.
Barnet: Flitney, Hendon, Warhurst, King, Gross, Sinclair, Hessenthaler (Batt 76), Bailey, Vernazza, Hatch (Roache 83), Kandol.
Subs Not Used: Reed, Grazioli, Bowditch.
Stockport: Spencer, Briggs, Williams, Raynes, Robinson, Ward (Ellis 76), Taylor, Beharall (Clare 45), O'Connor (Dickinson 58), Griffin, Bramble.
Subs Not Used: Smith, Le Fondre.
Att: 3,873
Ref: J P Robinson (E Yorkshire).