The results of a search for short bursts of gravitational radiation coincid
ent between the Allegro and Explorer cryogenic resonant mass detectors with
strain amplitudes greater than 3 x 10(-18) are reported for data taken fro
m June until December of 1991. While no significant excess of coincident ev
ents was found, an improved upper limit to the rate of gravitational wave b
ursts incident on Earth has been set. [S0556-2821(99)06212-8].