We study the gravitational wave emission from the first stars, which are as
sumed to be very massive objects (VMOs). We take into account various feedb
ack (both radiative and stellar) effects regulating the collapse of objects
in the early Universe and thus derive the VMO initial mass function and fo
rmation rate. If the final fate of VMOs is to collapse, leaving very massiv
e black hole remnants, then the gravitational waves emitted during each col
lapse would be seen as a stochastic background. The predicted spectral stra
in amplitude in a critical density cold dark matter (CDM) universe peaks in
the frequency range nu approximate to 5 x 10(-4)-5 x 10(-3) Hz, where it h
as a value in the range approximate to 10(-20)-10(-19) Hz(-1/2), and might
be detected by the Laser Interferometer Space Antenna (LISA). The expected
emission rate is roughly 4000 event yr(-1), resulting in a stationary discr
ete sequence of bursts, i.e. a shot-noise signal.