In this study, the effective elastic properties are numerically calculated for laminated plain weave textile composites with various orientation angles. A single-field macroelement with modified subdomain integration is used in the analysis to reduce computer resource requirement while efficiently accounting for the internal microstructure. A calculation procedure based on the Monte Carlo method is employed to consider the random tow arrangement due to the shift between the layers. Results show that significant deviation from average values occur when the orientation angles are near 0 for the extensional modulus and Poissons ratio and 45 for the shear modulus. It is also found that the average properties calculated for the two-layer specimen have large differences as compared to the CLT results, which indicate that caution must be used when analyzing thin plain weave composite structures.