The UK cable channel will broadcast Burns's provocative if.comedy-winning show I Suppose This Is Offensive Now for the first time on Saturday July 4.
And two weeks later, the broadcaster will premiere Tiernanís Bovinity tour, filmed in Cork in 2007 following a 56-night run at Dublinís Vicar Street venue.
Comedy Central will also be airing the new, fourth series of the Edinburgh and Beyond stand-up showcase next month. Hosted by Russell Howard, the series features sets from Russell Kane, Richard Herring, Kirsten Schall, Sephen K Omoas, Isy Suttie and others.
Here is a clip from the Burns special: