We present recent results on the deterministic particle approximation of non-linear conservation laws. In [1], the unique entropy solution to a scalar conservation law with a given initial datum in L∞ and with strictly monotone v is rigorously approximated by the empirical measure of a follow-the-leader particle system. Said result is based on a discrete version of the classical Oleinik one-sided jump condition for L∞ initial data and on a BV contraction estimate for BV initial data. The former requires some additional conditions on v, which reduces to strict concavity of the flux in case v is a power law. The convergence result also holds for the discrete density constructed from the particle system. The results in [1] have been recently extended to the Aw-Rascle-Zhang model for traffic flow in [2], where a similar BV contraction estimate has been proven, based on the interpretation of the system as a multi-population model. Finally, we shall present an extension of this technique to the Hughes model for pedestrians on a bounded interval with Dirichlet boundary conditions. In [3] we prove the rigorous convergence of a suitable adaptation of the above particle scheme to the unique entropy solution to the IBV problem for the Hughes model. Joint work with: Simone Fagioli (University of L'Aquila), Massimiliano D. Rosini (Lublin University of Technology), Giovanni Russo (University of Catania). [1] M. Di Francesco and M. D. Rosini, Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit, Archive for rational mechanics and analysis, 217 (3) (2015), pp. 831-871. [2] M. Di Francesco, S. Fagioli, and M. D. Rosini, Many particle approximation for the Aw-Rascle-Zhang second order model for vehicular traffic, Submitted preprint. [3] M. Di Francesco, S. Fagioli, M. D. Rosini, and G. Russo, Deterministic particle approximation of the Hughes model in one space dimension, in preparation.