The dependence of the transverse elastic and strength properties of unidirectional glass-fiber composites on the distribution of fibers in the matrix was studied numerically using a finite element homogenization framework employing Representative Volume Element (RVE) and periodic boundary conditions. An In-house developed Swelling and Random Migration algorithm was used to generate random distributions of fibers in an RVE, where after initial placement of fibers with relatively low volume fraction an iterative process of fiber swelling and collision detection with the subsequent random migration of fibers was performed. The process is controlled by two main parameters: the swelling rate and the intensity of “Brownian” motion, where every fiber is randomly shifted by a certain amount at each iteration, avoiding collision with other fibers and enforcing the periodicity of the RVE. These parameters allow the generation of statistically different distributions of fibers