Fibers are bridging cracks in short fiber brittle matrix composites. Post cracking composite material load – bearing capacity is dependent on each single fiber pull-out process. Numerical modeling results for single elasto-plastic fiber, is pulling out of elastic matrix, are presenting in the paper. Numerical results were compared with the data for single steel fiber pull-out of concrete matrix. 2D elastic and 3D elasto-plastic modeling, using the finite element method (FEM) approach, taking into account friction between fiber and matrix is presenting. Numerical modeling was performed for straight shape fiber was embedded into elastic matrix under variable angles to direction of applied pulling force. Fibers were embedded into matrix at variable depth. Friction between fiber and matrix and matrix shrinkage as well as elastic and plastic deformations in fiber are under investigation.