  We present a new procedure for quantizing field theory models on a
noncommutative spacetime. The new quantization depends on the noncommutative
parameter explicitly and reduces to the canonical quantization in the
commutative limit. It is shown that a quantum field theory constructed by the
new quantization yeilds exactly the same correlation functions as those of the
commutative field theory, that is, the noncommutative effects disappear
completely after quantization. This implies, for instance, that by using the
new quantization, the noncommutativity can be incorporated in the process of
quantization, rahter than in the action as conventionally done.
