We give an elemenlary proof of the Paley-Wiener theorem in several complex variables using Clifford itlgcbra. Thanks to the extension of the exponential function <•'*'•!', where .X is extended to R"'"^' — R'", and ^ is extended to C". the proof of the theorem in one complex variable based on analytic continuation is closely followed to give a proof for several complex variables. This shows ihal with the help of ClilTord algebras multi-variable cases may be treated similarly as the single variable case.