Kettering missed the chance to close on the chasing pack after a stalemate.
Chances fell to both sides, Northwich keeper Ryan Clarke saved superbly from Gareth Seddon's 20-yard drive, while Simon Grand hit wide for the home team.
Joel Byrom saw his effort from a Lee Elam free-kick saved by visiting keeper Lee Harper, while at the other end, a diving Clarke denied Craig Westcarr.
Northwich's Matt Bailey headed wide, but Westcarr could have stolen it only to see two shots frantically blocked.
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