The tie, which pits Cup holders City against the Championship side, will take place at the Etihad on Sunday 7 January, with kick-off slated for 14:00 (UK).
The match will also be broadcast live on the BBC iPlayer in the United Kingdom.
City last met the Terriers in the FA Cup back in 2017, when we beat Huddersfield 5-1 at the Etihad in a fifth-round replay.
Ticket details for the tie will be announced in due course.
Luton v City: App coverage
City’s next fixture sees us travel to Kenilworth Road for a 14:00 (UK) kick-off in the Premier League this Sunday.
As always, the official Manchester City app will keep you across all the action from one handy place.
Our Matchday Centre gets under way from 12:00, providing you with detailed stats, analysis and text updates across the afternoon.
Keith Curle and Joleon Lescott are in the studio for our Matchday Live show, offering their expert insight and plenty of laughs along the way on each of our official channels.
From kick-off Alistair Mann will be joined by Steve Howey in the commentary box to call the action from London, while those with push notifications turned on will also be alerted to all the key moments from wherever you are in the world.
Our app coverage also continues after the game, with a detailed match report and reaction from the boss and City players available to read shortly after the final whistle.
Our short highlights will be online from 17:45 (UK) while extended highlights as well as a full-match replay via CITY+ can be accessed from midnight (UK).
