"We can be glad with this win, in component because it's a sign to different teams," Bayern goalkeeper Neuer instructed Sky after equalling Oliver Kahn's file of 310 Bundesliga victories.
The champions held off a lively display from Leipzig to decide a dramatic, quit-to-quit warfare in their favour and pull nine factors clear at the top overnight.
"Both teams had such a lot of chances these days, too many from a protective factor of view. But it turned into an essential win for us," Bayern teach Julian Nagelsmann said.
Bayern's eighth win in nine video games heaps strain on second-positioned Borussia Dortmund, who face Bayer Leverkusen on Sunday.
Thomas Mueller opened the scoring on 12 minutes, tapping into the empty net after Peter Gulacsi parried a low shot from Robert Lewandowski.
Neuer twice denied Dani Olmo at the alternative end, before a mistake from Corentin Tolisso in midfield allowed Leipzig to break and Andre Silva to equalise simply earlier than the 1/2-hour mark.
Mueller then had a aim ruled out by VAR earlier than Lewandowski restored the lead rapidly earlier than half-time.
Tolisso tore Leipzig apart with a tremendous through ball, Kingsley Coman curled the ball into the field and Lewandowski sent a ferocious header beyond Gulacsi.
The game continued to sparkle within the 2d 1/2, Lewandowski coming near at one quit before Bayern were caught off shield through any other cut-throat Leipzig assault.
Konrad Laimer picked up his second help with a devastating pass through to Christopher Nkunku, who slotted the ball past Neuer.