  Entanglement purification is to distill high-quality entangled states from
low-quality entangled states. It is a key step in quantum repeaters, determines
the efficiency and communication rates of quantum communication protocols, and
is hence of central importance in long-distance communications and quantum
networks. In this work, we report the first experimental demonstration of
deterministic entanglement purification using polarization and spatial mode
hyperentanglement. After purification, the fidelity of polarization
entanglement arises from $0.268\pm0.002$ to $0.989\pm0.001$. Assisted with
robust spatial mode entanglement, the total purification efficiency can be
estimated as $10^{9}$ times that of the entanglement purification protocols
using two copies of entangled states when one uses the spontaneous parametric
down-conversion sources. Our work may have the potential to be implemented as a
part of full repeater protocols.
