Phenomena related to sieving of non-spherical particles are investigated numerically in two batch apparatuses and on a horizontally aligned continuous sieve by particle-based simulation approaches in the framework of the discrete element method. The feed material is approximated by complex-shaped particles composed of clustered spheres. Comparisons are made with regard to the passage through the screen as well as the segregation and transportation on the screen. Results for passage are compared to data from literature, where simulations with spherical particles were performed of a laboratory-scale sieve operated with non-spherical quarry rock particles. Additionally, variations in screen inclination are investigated. Experimental results are matched by the simulations. A distinctive influence of particle shape on flow rates and residence times is identified.