Josie Long has been nominated for the third year in a row and is up against Claudia O'Doherty, Doctor Brown, James Acaster, Pappy's and Tony Law.
Awards producer Nica Burns said: "The nominees sum up an extraordinarily inventive year for comedy at this year's Fringe.
"The shows demonstrate all the comedic art forms - standup, mime, sketch and multi-media experimentation.
"The performers are all immensely charismatic and often thought-provoking whilst being extremely funny."
Now in its 32nd year, the awards have previously been sponsored by Perrier and Intelligent Finance.
The winners of the main 'Best Comedy Show' prize receive £10,000, while the best newcomer wins £5,000. £5,000 is also given to the winner of the 'Panel Prize' for special recognition.
The full nominations are as follows:
Best Comedy Show
Claudia O'Doherty: The Telescope
Doctor Brown: Befrdfgth
James Acaster: Prompt
Josie Long: Romance and Adventure
Pappy's: Last Show Ever!
Tony Law: Maximum Nonsense
Daniel Simonsen: Champions
David Trent: Spontaneous Comedian
Discover Ben Target
Joe Lycett: Some Lycett Hot
Sam Fletcher: Good on Paper