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entropy is defined as a measure of a system's disorder.
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Took the words right out of my keyboard.
Several problems exist with the question itself. If the Universe is "governed" by anything, that would be the laws of physics. (The word "laws" should really be in quotes also, since that implies a certainty which can never really exist in any system of inductive logic, such as Science).
Naturally, order and chaos (or disorder) both exist, but do you mean by your question which state is more natural, or prevalent?
Stuart Kauffman of the Santa Fe Institute would say that order exists
on the edge of chaos. By that, they mean that things can be TOO ordered, like a crystal lattice (ice, etc) where nothing changes, or it can be too chaotic (or disordered) like the turbulence of a body of running water where things change too rapidly for any kind of repeating patterns to emerge. But, somewhere between those two extremes you'll find things that change enough to allow growth and/or evolution, but not so much change as to introduce instability into the system.