  Higher-order topology yields intriguing multidimensional topological
phenomena, while Weyl semimetals have unconventional properties such as chiral
anomaly. However, so far, Weyl physics remain disconnected with higher-order
topology. Here, we report the theoretical discovery of higher-order Weyl points
and thereby the establishment of such an important connection. We demonstrate
that higher-order Weyl points can emerge in chiral materials such as chiral
tetragonal crystals as the intermediate phase between the conventional Weyl
semimetal and 3D higher-order topological phases. Higher-order Weyl semimetals
manifest themselves uniquely by exhibiting concurrent chiral Fermi-arc surface
states, topological hinge states, and the momentum-dependent fractional hinge
charge, revealing a novel class of higher-order topological phases.
