  We present an alternative definition of quantum entanglement for bipartite
system based on Bell inequality and operators' noncommutativity. A state is
said to be entangled, if the maximum of CHSH expectation value $F_{\max}$ is
obtain by noncommutative measures on each particle of the bipartite system;
otherwise, the state is a disentangled state. A uniform measure quantifying the
degree of entanglement for any state of the bipartite system is also proposed.
