  We analyzed 6 hours of data from the TAMA300 detector by matched filtering,
searching for gravitational waves from inspiraling compact binaries. We
incorporated a two-step hierarchical search strategy in matched filtering. We
obtained an upper limit of 0.59/hour (C.L.=90%) on the event rate of inspirals
of compact binaries with mass between 0.3M_solar and 10M_solar and with
signal-to-noise ratio greater than 7.2. The distance of 1.4M_solar (0.5M_solar)
binaries which produce the signal-to-noise ratio 7.2 was estimated to be 6.2kpc
(2.9kpc) when the position of the source on the sky and the inclination angle
of the binaries were optimal.
