Raheem Sterling had put the Blues ahead in the first half, before the England international scored again midway through the second period, with Nicolas Jackson quickly adding a third.
To see the best pictures from Stamford Bridge, check out the gallery below.
1. Chelsea 3 Luton Town 0
There wasn't a spare seat to be had as Luton travelled to Chelsea on Friday night. Photo: Eddie Keogh
2. Chelsea 3 Luton Town 0
Sky Sports were in town for the clash, with pundits Gary Neville, Jamie Carragher and Jimmy Floyd Hasselbaink at Stamford Bridge. Photo: Liam Smith
3. Chelsea 3 Luton Town 0
Ross Barkley warms up ahead of Luton Town debut. Photo: Liam Smith
4. Chelsea 3 Luton Town 0
Luton take to the field for their second game of the Premier League season. Photo: Liam Smith