This series is drawn by Auto Taguchi and published by Kodansha. 
In addition to this, according to Baka-Updates it is serialised in Magazine Z. 
It shares its name with another Gundam 00 manga drawn by Kouzoh Ohmari and published by Kadokawa. 
The two series essentially follow the plot of the anime, however they vary both in artistic style and in the sequence of events that take place. 
The first volume was published on 17th January 2008, and at present the series has reached four volumes. 
(Vol 2 - 2008/05/23; Vol 3 - 2008/08/22; Vol 4 - 2008/10/23)

2307 AD. The nations of the world are split into three major power blocs, each striving to further their own prestige and prosperity. Despite the precariousness of the situation, these groups of nations insist on playing a grand zero-sum game. To stand up against the state of the world, a private organization calling themselves Celestial Being declare that they will end all war on Earth...they will be armed with the Mobile weapon Gundam. 
(Source: Bandai Entertainment) 
Minor changes are present compared to the anime, such as the use of more visually comedic facial expressions.

The year is 2307 A.D. Although fossil fuels have been depleted, humanity has obtained a new source of energy to replace them in the form of a large-scale solar power generation system based on three huge orbital elevators. However, the benefits of this system are available only to a handful of major powers and their allies. 
The three orbital elevators belong to three superpower blocs. These are the Union, led by the United States of America; the Human Reform League, led by China, Russia, and India; and the AEU, led by Europe. These superpower blocs continue to play a grand zero-sum game for the sake of their own prestige and prosperity. 
In this world of never-ending conflict, a private armed organization appears, dedicated to the elimination of war through armed force. Its name is Celestial Being, and it is in possession of "Gundam" mobile suits. With these Gundams, it begins armed intervention into all acts of war. 
Source: TRSI

It is the year A.D. 2307. Fossil fuels on Earth have been depleted entirely, with mankind turning to the next available power source: solar energy. During this time, 3 orbital elevators with solar power generation systems are built, each under control by the Union (formerly United States of America), the Human Reformist Alliance (Russia, China and India) and the AEU (Europe). However, not all countries are able to enjoy the benefits of this system, leading to widespread resentment and war. Arising out of the conflict, a mysterious non-profit military organization known as Celestial Being appears, dedicated to end all warfare using Mobile Suits called Gundam. This begins the stories of Gundam Meisters (pilots) Setsuna F. Seiei, Lockon Stratos, Allelujah Haptism and Tieria Erde as they are thrown into conflict between the 3 superpowers and the other various factions.
 
(Source: Anime News Network)

This manga based on the second season of Gundam 00 is illustrated by Auto Taguchi and follows on from his manga based on the first season.

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