  Several Pulsar Wind Nebulae (PWNe) have been detected in the TeV band in the
last decade.The TeV emission is typically interpreted in a purely leptonic
scenario, but this usually requires that the magnetic field in the Nebula be
much lower than the equipartition value and the assumption of an enhanced
target radiation at IR frequencies. In this work we consider the possibility
that, in addition to the relativistic electrons, also relativistic hadrons are
present in these nebulae. Assuming that part of the emitted TeV photons are of
hadronic origin, we compute the associated flux of $\sim 1-100$ TeV neutrinos.
We use the IceCube non detection to put constraints on the fraction of TeV
photons that might be contributed by hadrons and estimate the number of
neutrino events that can be expected from these sources in ANTARES and in
KM3Net.
