The NuMoon project aims to study ultra-high-energy neutrinos and cosmic rays by using radio telescopes to search for short pulses from the Moon. These pulses are created when a neutrino or cosmic ray impinges on the Moon and interacts below the lunar surface. Part of the energy is converted into a hadronic shower, which emits radio emission in a process known as the Askaryan effect. In the first phase of the NuMoon project, 46 hrs of data were collected with the Westerbork Synthesis Radio Telescope in a low frequency band: 40–80 MHz. This resulted in an upper limit on the neutrino flux above 10<sup>22</sup> eV which is an order of magnitude lower than previous limits. Additionally, an upper limit has been set on the ultra-high-energy cosmic-ray flux. The second phase of NuMoon will consist of observations with LOFAR.