•Neutronic modeling and calculation of the C5G7 Benchmark.•Analysis of the C5G7 Benchmark using the Characteristics Methods (MOC).•Study the effect of differents MOC parameters on the results.•Study the effect of type and number of angular quadrature sets on the results.•The Monte Carlo code OpenMC was used to verify and validate the results obtained by DRAGON5 code. This work uses the Characteristics Methods (MOC) implemented in the lattice DRAGON5 code to analyze the 2D C5G7 MOX Benchmark. This method was performed using the MCCGT: module of DRAGON5, this module includes parameters that affect the results. So, a sensitivity study was necessary to find the optimum parameters. The eigenvalues calculated by DRAGON5 code agree well with the reference Monte Carlo code MCNP, and also with the OpenMC code with a percent error of just 0.001% and 0.004% respectively. Compared to the Monte Carlo code OpenMC, the maximum percentage error of assembly power, the maximum and the average percentage error of pin power are 0.07%, 0.85% and 0.13%, respectively. Based on the accuracy of the results and on the computational cost, the sensitivity study of various MOC parameters reveals that the 2D C5G7 benchmark problem requires: between 16 and 32 for the azimuthal angles, more than 10 cm-1 for the ray density and 8 × 8 for the special mesh.