The Germans had arrived at the Emirates Stadium in imperious form following a new Bundesliga record of nine consecutive victories and leaders of Group F with maximum points from two European ties.
Nike Women Mercurial CR7 Cleats However, Arsenal - who had lost their first two matches to sit bottom of the table - produced a resolute display and took the lead on 77 minutes when Giroud headed in after a mistake from goalkeeper Manuel Neuer, who had earlier produced a brilliant save to deny Theo Walcott.
Nike Women Mercurial IX German playmaker Mezut Ozil scored a second in stoppage time to seal the win, his close-range effort given by the fifth official after Neuer had clawed the ball back from over the goalline.
The Gunners, though, still have it all to do to qualify for the knockout stages, and next travel to Munich in November.
Nike Women Hypervenom Cleats Bayern supporters held a protest at ticket prices for the opening five minutes - the slogans declaring 'without fans football is not worth a penny' - and were applauded from the home ends when they eventually took their seats.
Arsenal made a bright start, as Ozil found himself with space for a shot from the edge of the Bayern penalty area after a driving run by Alexis Sanchez, but Neuer got down at full stretch to save.
Womens Soccer Cleats The hosts were then carved open on 11 minutes down the right as a clever one-two from Thomas Muller released Thiago into the box, and his snap-shot was beaten away by Petr Cech.
The Germans, who have scored 38 goals in their 12-match winning run in all competitions this season, continued to dominate possession, and Cech was called on again to parry away a lofted effort from Arturo Vidal.
Nike Women Magista Obra Cleats Arsenal, though, had a great chance to take the lead on 33 minutes.
