The show is based on Comedy Central's US series and features comedians getting drunk and recounting their favourite stories from history, while actors and celebrities act out their blurry visions of the past.
So far Johnny Vegas, Russell Kane and Alex Horne have all signed up to appear on the show with Jimmy Carr providing the voiceover.
PrettyGreen's brief is to recruit online influencers including vloggers and Viners, to create a buzz around the show whch will be aired next week.
Lucy Porter, head of digital at PrettyGreen, said: "Drunk History is a really exciting new series to be part of, and working with vloggers and online influencers will play a significant role in creating buzz around the show. We’re thrilled to be working with the team at Comedy Central UK and looking forward to episode one."
Comedy Central UK currently uses PR agency Premier. This is the first time the company has appointed an agency specifically for online influencers.