Giroud got his deserved hat trick just before the hour mark, as he beautifully headed Willian's free kick into the back of the net. It took the Frenchman's Europa League tally up to nine goals, making him the top goalscorer in this season's competition.
Hudson-Odoi capped off an outstanding performance with a deserved goal, as he calmly finished past goalkeeper Denys Boyko to score his fifth goal in a Chelsea shirt.
The result sees the Blues progress to the quarter-finals in style, as they look to win the Europa League for the first time since 2013. The draw for the last eight will be made on Friday afternoon, along with the semi-final draw as Chelsea wait to see who lies ahead next.
Key Talking Point
On a night where they needed a big performance, Dynamo Kiev were very poor. They showed no real improvement from their first leg defeat at Stamford Bridge, and were once again underwhelming and lacklustre against the west Londoners.
Although there is no denying that they faced an incredibly tough task against one of the best teams in the competition, the Ukrainians could've at least put up a fight. It was a disappointing defeat at the Olympic Stadium, as they bowed out of European football for another season.
Starting XI: Boyko (6); Mykolenko (5), Kadar (6), Burda (5), Kedziora (6); Shepeliev (6), Sydorchuk (6*); Sidcley (6), Shaparenko (5), Tsygankov (5); Garmash (6).
Substitutes: Tche Tche (6), Smirniy (N/A), Andrievsky (N/A).
STAR MAN - There was very little quality from Dynamo Kiev on the night, but captain Serhiy Sydorchuk was the Ukrainian's brightest spark. He came closest for the hosts when his shot hit the base of the post, and he stood out on a frustrating night for Dynamo.
Key Talking Point
It was an emphatic display from Chelsea, who came to Kiev in strength following a frustrating draw against Wolves last Sunday. The Blues were dominant all game long and played fantastically, producing a fantastic performance to carry on their European journey in style.
There were strong performances all round and some positive football on display, as Maurizio Sarri continues his pursuit for European glory. The scoreline definitely reflects Chelsea's control over the two legs, and they will be delighted to have got the job done in Kiev.
Starting XI: Arrizabalaga (6); Alonso (8), Rudiger (6), Christensen (7), Zappacosta (7); Loftus-Cheek (7), Kante (8), Kovacic (7); Willian (7), Giroud (10*), Hudson-Odoi (9).
Substitutes: Jorginho (6), Azpilicueta (6), Pedro (6).
STAR MAN - It was a trademark performance from Chelsea striker Olivier Giroud, as his hat-trick helped the Blues into the last eight. As well as scoring three wonderful goals he also registered a wonderful assist, as the Frenchman was outstanding in the Ukrainian capital.