We estimate the extragalactic muon neutrino background which is produced by
hadrons injected by very young pulsars at an early phase after supernova e
xplosion. It is assumed that hadrons are accelerated in the pulsar wind zon
e which is filled with thermal photons captured below the expanding superno
va envelope. In collisions with those thermal photons hadrons produce pions
which decay into muon neutrinos. At a later time, muon neutrinos are also
produced by the hadrons in collisions with matter of the expanding envelope
. We show that extragalactic neutrino background predicted by such a model
should be detectable by the planned 1 km(2) neutrino detector if a signific
ant part of pulsars is born with periods shorter than similar to 10 ms. Sin
ce such population of pulsars is postulated by the recent models of product
ion of extremely high energy cosmic rays, detection of neutrinos with predi
cted fluxes can be used as their observational test.