The army created by the cloners of Kamino was supposedly, according to the Prime Minister of Kamino, ordered by Jedi master Sifo Dyas; however, Mace Windu disputes any Jedi involvement. The genetic donor for the army, Jango Fett, also claims to have never heard the name, instead crediting the idea to a man named Tyranus, who had recruited Jango for the job. While the films never make a clear pronouncement, the events can be seen for what they are by paying attention to a few key scenes. We learn at the end of the film that Count Dooku is Darth Tyranus, and that he, while seeming to head the Separatist movement, is actually colluding with Darth Sidious in order to bring about the Clone War. The clones created from Jango, who appears to be working for Dooku and the Separatists, actually are created for use by the Republic. Dooku/Tyranus is playing both sides to bring about the conflict so that his master can grab more power and erode the democratic goverment, paving the way for a dictatorship. It is therefore reasonable to assume that the clone army was actually ordered by Dooku, who used the name of a respected but recently deceased Jedi to cover his tracks. One can also infer from this that it was Dooku who erased Kamino from the Jedi archives, which Yoda claims could have only been done by a Jedi-why this is, he does not make clear. (One possible explanation can be found in the EU, where it is revealed that both Jedi and Sith store their knowledge in devices called "holocrons" that can only be properly accessed by Force users.) In the DVD commentary track, Lucas claims that this matter would be clarified in Episode III, but such a clarification never came about.
In the expanded universe, it is discovered that Sifo-Dyas secretly commissioned the clone army after learning that the Sith had returned and knowing the Jedi Council wouldn't agree to the creation of an army. Count Dooku, a trusted friend of Sifo-Dyas, but already secretly Sidious' apprentice, recruited Jango Fett to be the clone template. Once the clone army is commissioned, Dooku killed Sifo-Dyas and removed Kamino from the Jedi Archives.