A comprehensive understanding of the geometric form of concrete meso-structure is important because it is associated with the complex and random mechanical behavior of concrete. In this study, the coarse aggregate content and fractal dimension were used to describe the geometric form of concrete at the meso-level. After validating the simulation results through a comparison with the experimental results, a group of meso-models of concrete with various fractal dimensions and coarse aggregate contents were simulated under compression. The simulation and experimental results suggested that the compressive strength increased with decreasing fractal dimension and increasing coarse aggregate content; the strain corresponding to the maximum stress decreased with decreasing fractal dimension and increasing coarse aggregate content. Also, increasing the fractal dimension can cause the elastic modulus to slightly decrease. The comprehensive consideration of the geometric form of meso-structure can provide a powerful tool for understanding the observed macroscopic behavior of concrete. (C) 2019 Elsevier B.V. All rights reserved.