In this paper, finite thickness and tow phase effects on the mechanical behavior were studied numerically for plain weave textile composites. Unit cell analysis based on a superposition method was employed to simulate uniaxial tensile loading condition and macro-element post-processor was used to reduce computer resource requirement. The effective moduli and micro-stress distribution were calculated for finite thick plain weave composites with phase shifts. Single layer and infinitely thick configurations were also considered for comparison.