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The onset of cavitating conditions inside the nozzle of diesel injectors is known to play a major role on spray characteristics, especially on jet penetration and break-up. In this work, for the first time a Direct Numerical Simulation (DNS) based on the Lattice Boltzmann Method (LBM) is applied to study the fluid dynamic field inside the nozzle of a cavitating diesel injector. The formation of the cavitating region is determined via a multi-phase approach based on the Shan-Chen Equation of State and its most recent enhancements. The evolution of cavitation bubbles is followed and the characteristic numbers, i.e., Cavitation Number (CN) and discharge coefficient (Cd) are evaluated. The results obtained by the LBM simulation are compared to both numerical and experimental data present in literature.