The stochastic prepreg platelet molded composite (PPMC) occurs when the orientation and arrangement disorder of platelets are determined by the uncontrolled molding conditions. The understanding of composite structure-property relationship is essential for the engineering applications of PPMCs. Computational analysis of the structure-property relationship in a PPMC with stochastic meso-scale morphology is herein performed under uniaxial tension conditions. The virtual distributions of tensile properties are obtained from the in-silico tensile tests based on the progressive failure analysis in the full-sized stochastically generated PPMC coupons. The developed analysis allows investigation of how the PPMC meso-structure details, such as platelet geometry and system morphology, define the variability in PPMC effective tensile properties.