Shaun Harrad's stunning 25-yard strike sent Burton to the top of the non-League pyramid for the first time in their 58-year history.
Harrad latched onto John McGrath's pass before unleashing a fierce strike into the bottom left corner.
Nigel Clough's side struggled to shake off a determined Northwich side who impressed under new boss Steve King.
Harrad could have doubled his tally in the second half but was denied by a fine save by Vics keeper Michael Jones.
Northwich: Jones, Aspin (Bailey 84), Welch, Roberts, Grand, Yussuff, Wagstaff (Mullan 76), Flynn, Winn, Allan (Stamp 70), Burns. Subs Not Used: Tynan, Brown.
Booked: Welch, Flynn.
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Goals: Harrad 19.
Att: 932.
Ref: P Curry (Essex).
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