LYON (AFP) Ivica Olic netted a hat-trick as Bayern Munich defeated Lyon 3-0 here on Tuesday to qualify for the Champions League final for the first time since they last won the competition in 2001. The Croatia striker extended Bayerns 1-0 lead from last weeks semi-final first leg in Munich in the first half and put the tie beyond Lyons reach with a pair of strikes in the second period. A jubilant Olic said: Its incredible to win by this scoreline and to have scored three goals. This is perhaps the best match of my life, but above all its a great overall performance by the team. We have to repeat this now in the final itself. Lyon were bidding to reach their first ever European final but saw Michel Bastos and Bafetimbi Gomis spurn the best chances that came their way. The hosts had captain Cris sent off midway through the second half after being shown two yellow cards in quick succession. Bayern were missing France winger Franck Ribery after his dismissal in the first leg but they were barely troubled by a Lyon team that once again failed to muster a sustained attacking threat. The German side, four-time champions, will meet the winners of Wednesdays other semi-final between Barcelona and Inter Milan in the final in Madrid on May 22. Coach Louis van Gaal will be aiming to become just the third man to guide two different teams to Europes top club honour, having tasted Champions League glory with Ajax in 1995. After seeing his side outplayed in Munich, Lyon coach Claude Puel made his attacking intentions clear by naming wingers Bastos, Sidney Govou and Cesar Delgado in his line-up in support of Lisandro Lopez. Bayerns injury problems meant Holger Badstuber had to move into the centre of defence, with 19-year-old Diego Contento taking his place at left-back, but it was the home defence that found itself under pressure first. With barely two minutes on the clock, Olic robbed Cris wide on the right and centred for Thomas Mueller, but with only Hugo Lloris to beat he clipped his first-time shot narrowly wide from 10 yards. Mueller then flashed a cross across goal before Bayern scored the nights first psychological blow when Mark van Bommel drew a foul from Maxime Gonalons that earned the youngster a booking and a suspension for the final. The goal the Lyon fans dreaded arrived in the 26th minute when Robbens pass down the inside-left channel found Mueller, who teed up Olic to spin away from his marker and score. The noise of the Bayern fans drums replaced the roar of the home support and they grew even louder when Bastos spurned a superb chance for an equaliser by volleying wide from six yards. Puel introduced Gomis at half-time and the former Saint Etienne striker sent a thumping volley high over the Bayern crossbar when a left-wing cross fell to him at the back post shortly after his introduction. Bastian Schweinsteiger flashed an eye-catching half-volley narrowly over as Bayern looked to kill the game off, before Lloris produced a fine save to push away Robbens low curling effort. Lyons evening went from bad to worse shortly before the hour when Cris received his marching orders, picking up two yellow cards in the space of a minute for fouling Olic and then sarcastically applauding the referees decision to book him. The hosts responded with a stinging shot from Govou that Hans-Joerg Butt palmed away before Olic killed off any lingering hopes of a comeback by scampering onto Hamit Altintops pass and beating Lloris with a crisp finish. Olic secured possession of the matchball in the 77th minute when he nodded home Philipp Lahms cross from the right. Meanwhile, Olic hit all three goals in Tuesdays semi-final, second-leg win as Bayern went through 4-0 on aggregate to leave Louis van Gaals side set to face either Barcelona or Inter Milan in the final in Madrid on May 22. The Croatian also scored one of the crucial away goals at Old Trafford against Manchester United in the quarter-finals, but says the win over Lyon here eclipsed even his performance against Sir Alex Fergusons United. I never thought wed win like that, said the 30-year-old. Its tremendous to score three in a game of this importance, it was easy for me up front because we played so well as a team. I thought Manchester United was the game of my life, but the semi-final has been a great match too. The vital thing was playing as a team. It means you can enjoy it as a striker. With Bayern top of the Bundesliga and set to face Werder Bremen in the German Cup final on May 15, van Gaal, who is on course to win the domestic treble in his first season in charge, said Munich need fear no side. Bayern are capable of beating anyone, which is why weve come here tonight, he said, abandoning his usual post-match low-key style of appraisal. Weve turned in a magnificent display. Making the final is terrific. This will be Bayerns first Champions League final since 2001, when they beat Valencia 5-4 on penalties at Milans San Siro, and captain Mark van Bommel was delighted with the performance. Im proud of this team and of what weve achieved, said the Dutchman. It was a terrific performance, top drawer.