Progress of the main character, Red, through the game's levels had initially been slow as so many users tried to control him simultaneously.
The creator of Twitch Plays Pokemon had been sceptical about whether users would ever finish the game as he doubted players would be able to co-ordinate enough to overcome the game's hurdles.
Two playing modes were introduced to determine how chat commands were processed during the game.
Anarchy mode meant that everyone's command was applied immediately. Democracy mode meant that the most popular command entered over a 30 second period would be chosen.
Players could influence which mode was used by typing "anarchy" or "democracy" in to the chat function. The mode with the most votes would triumph until enough people voted the other way.
The aim of Pokemon Red/Blue is to become champion of the fictional region known as Kanto by defeating eight "Gym Leaders".
If players get this far, they gain access to the "Elite Four", who are the "top Pokemon trainers in the land".
In an official Twitch blog the game was called "the biggest cultural phenomenon to strike Twitch" and it thanked the sites "passionate and preposterous community".
The creator of Twitch Plays Pokemon told the Guardian newspaper he would introduce a new game. Shortly after the completion of Pokemon Red a new game was online on Twitch - Pokemon Crystal.