Bayern Munich forward Mario Gomez struck twice in the first half to hand his team a 2-0 win over Manchester City in the Champions League on Tuesday and extend their winning streak to 10 games in all competitions The Bundesliga's top scorer snatched a 38th minute lead, sliding in after City keeper Joe Hart had saved efforts from Franck Ribery and Thomas Mueller and added another in first half stoppage time, again tapping in from close range. City, in only their second ever game in the competition having drawn 1-1 with Napoli in their opener, failed to leave their mark with a lacklustre performance and have not won any of their last five European away games. In-form Bayern, who left Arjen Robben on the bench and are eager to get a shot at a fifth European Cup title with the Champions League final to be held in Munich next year, have now won their last 10 games in all competitions without conceding a goal and top Group A with six points from two games. With only one win in 17 appearances by English teams in Munich, the odds were stacked against City but the visitors looked livelier at the start and threatened after only a few minutes when Edin Dzeko's low drive was blocked by goalkeeper Manuel Neuer. Coach Roberto Mancini opted to start with the blossoming attacking partnership of Dzeko and Sergio Aguero, who between them have scored 14 league goals in City's unbeaten start to the Premier League, leaving Argentine Carlos Tevez on the bench. With City pressing high, Bayern initially had problems cracking open a disciplined defence, trying their luck with some long-range efforts. Gradually, however, Ribery carved out space down the left wing and it was the Frenchman who set up the first goal, firing in from outside the box, keeper Joe Hart doing well to save it as well as Thomas Mueller's rebound before the unmarked Gomez slid in for the lead. The goal was exactly what Bayern needed to take control of the match as City were now boxed in their own half. On the stroke of halftime Toni Kroos floated in a free-kick, Hart again was on hand to save Daniel van Buyten's glancing header but was helpless when Gomez scored from close range, leaving the keeper furious with his defenders. Germany international Gomez should have had a hat-trick, coming agonisingly close on two occasions in the second half as City were reduced to passive observers.