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Robert Lewandowski scored for the ninth successive Champions League game as Bayern Munich maintained their 100% record in Group E against Dynamo Kyiv.
Poland striker Lewandowski gave Bayern the lead with an overhead kick after the ball fell loose in the area.
Kingsley Coman, who scored the winner in the 2020 final against Paris St-Germain, slotted home the second.
Denys Harmash scored Kyiv's first goal of this year's tournament but they were unable to find an equaliser.
Bayern were without Joshua Kimmich, Serge Gnabry, Jamal Musiala, Eric-Maxim Choupo-Moting and Michael Cuisance after the five players were in close contact with someone who has tested positive for Covid-19.
German newspaper Bild has reported that those players will not be paid during their quarantine period.
The 2020 winners started slowly but Lewandowski's instinctive finish was a moment of brilliance typical of the striker.
A cross from the right popped up off a defender's leg and the airborne striker volleyed home with his left foot.
The goal meant the 33-year-old became the first player to score in nine successive Champions League games twice, having also done it in August 2020. Ruud van Nistelrooy and Cristiano Ronaldo have both achieved the feat once.
Kyiv, who were unable to progress after picking up just one point in their first four games, hit the post at 1-0 when a Leon Goretzka back-pass was missed by Manuel Neuer as he attempted to clear.
Coman made it 2-0 just before half-time when he latched on to a Corentin Tolisso pass on the right wing and slotted into the top far corner.
Kyiv were excellent after the break, forcing Neuer into an early save, before substitute Harmash finished off a clever move to reduce the deficit.
They pushed for an equaliser, with captain Serhiy Sydorchuk seeing an effort from just outside the area saved and Viktor Tsyhankov grazing the outside of the post with a left-footed effort from distance.
Line-ups
Dynamo Kyiv
Formation 4-2-3-1
- 1Bushchan
- 94KedzioraSubstituted forKaravaevat 76'minutes
- 25Zabarnyi
- 34Syrota
- 16Mykolenko
- 5Sydorchuk
- 10ShaparenkoBooked at 32mins
- 15Tsygankov
- 29Buyalskyi
- 14de PenaSubstituted forHarmashat 45'minutes
- 73ShkurinSubstituted forNaum dos Santosat 45'minutes
Substitutes
- 7Verbic
- 8Shepelev
- 9Ramírez
- 13Shabanov
- 17Lednev
- 18Andrievskyi
- 19Harmash
- 20Karavaev
- 22Naum dos Santos
- 28Kulach
- 71Boyko
- 99Antyukh
Bayern Munich
Formation 4-2-3-1
- 1Neuer
- 5Pavard
- 23NianzouSubstituted forTillmanat 85'minutes
- 21HernándezSubstituted forSarrat 45'minutesBooked at 52mins
- 19Davies
- 24Tolisso
- 8Goretzka
- 11ComanSubstituted forRocaat 67'minutes
- 25Müller
- 10SanéSubstituted forRichardsat 88'minutes
- 9Lewandowski
Substitutes
- 3Richards
- 20Sarr
- 22Roca
- 26Ulreich
- 36Früchtl
- 40Tillman
Live Text
Match ends, Dinamo Kiev 1, FC Bayern München 2.
Second Half ends, Dinamo Kiev 1, FC Bayern München 2.
Foul by Benjamin Pavard (FC Bayern München).
Denys Harmash (Dinamo Kiev) wins a free kick in the defensive half.
Viktor Tsygankov (Dinamo Kiev) hits the right post with a left footed shot from outside the box. Assisted by Oleksandr Karavaev following a set piece situation.
Foul by Marc Roca (FC Bayern München).
Mykola Shaparenko (Dinamo Kiev) wins a free kick in the attacking half.
Attempt saved. Denys Harmash (Dinamo Kiev) header from the centre of the box is saved in the centre of the goal.
Corner, Dinamo Kiev. Conceded by Leon Goretzka.
Foul by Omar Richards (FC Bayern München).
Vitalii Buyalskyi (Dinamo Kiev) wins a free kick on the left wing.
Substitution, FC Bayern München. Omar Richards replaces Leroy Sané.
Offside, Dinamo Kiev. Vitalii Buyalskyi tries a through ball, but Oleksandr Karavaev is caught offside.
Attempt missed. Vitinho (Dinamo Kiev) header from the centre of the box misses to the right. Assisted by Viktor Tsygankov with a cross following a set piece situation.
Foul by Corentin Tolisso (FC Bayern München).
Mykola Shaparenko (Dinamo Kiev) wins a free kick in the attacking half.
Substitution, FC Bayern München. Malik Tillman replaces Tanguy Nianzou because of an injury.
Tanguy Nianzou (FC Bayern München) wins a free kick on the left wing.
Foul by Denys Harmash (Dinamo Kiev).
Attempt missed. Viktor Tsygankov (Dinamo Kiev) left footed shot from the centre of the box is close, but misses to the right. Assisted by Vitalii Buyalskyi.