Bayern Munich kept pace with Nurnberg and Werder Bremen with a 2-1 victory at Bochum on Sunday.
The Bundesliga champions started the new campaign with a 2-0 home win over Borussia Dortmund, and they continued their winning ways on their travels.
Felix Magath's side, however, were without England midfielder Owen Hargreaves - with the Canadian-born player strongly linked with an impending move to Manchester United.
Dutchman Roy Makaay gave Bayern the lead three minutes before half time before Bochum levelled through Brazilian Fabio Junior (52).
Bayern, however, took the three points when Philipp Lahm struck on 65 minutes, as the Bavarians made it two wins out of two to start the new season in the German top flight.
The other Sunday game saw nine-man Stuttgart win a remarkable contest at Arminia Bielefeld 3-2.
Portuguese centre back Fernando Meira gave the visitors a half-time lead before Bielefeld levelled from the penalty spot.
Abdelaziz Ahanfouf (66) scored the spot-kick after Stuttgart's Mexican defender Ricardo Osorio was sent off for hand-ball in his own box.
Despite being a man short, Stuttgart restored their lead through Antonio da Silva (73) before Jorg Bohme made it 2-2 three minutes later.
Things seemingly got worse for Stuttgart when da Silva was also sent off for a second bookable offence ten minutes from the end.
Two minutes later, however, the nine-man visitors earned their first win of the season through Brazilian striker Cacau.