A meso-scale finite element modelling technique is developed for simulation of complicated 3D fracture in multiphase concrete, based on realistic X-ray computed tomography (XCT) images and the cohesive crack model. It is validated against in-situ XCT tests of a concrete cube under Brazilian-like compression in terms of load-displacement curves and crack patterns. Meso-scale simulations under uniaxial compression and tension are also carried out.