The Myra Breckinridge author died at his Hollywood Hills home on Tuesday (July 31) due to complications from pneumonia.
Vidal penned the noted Broadway plays Visit to a Small Planet and The Best Man, which was recently revived on the New York stage by Eric McCormack.
The Broadway League has now confirmed that New York City theatres will dim their lights at 8pm ET on Friday (August 3) to honour Vidal.
Charlotte St Martin of the Broadway League shared his thoughts on Vidal's legacy in a press release.
Martin said: "For over six decades, Gore Vidal never stopped writing novels, memoirs, plays, essays and screenplays, and was a ubiquitous cultural commentator.
"His plays were timely and timeless, as evidenced by the current production of The Best Man now playing on Broadway. Our thoughts go out to his friends, family and fans."
Vidal's literary legacy also extends to his more than 20 novels, including Myra Breckinridge, Creation and Duluth.
> Gore Vidal 1925-2012: His finest quotes