A search for gamma-ray bursts at the 10 TeV energy region was made usi
ng data of the Yangbajing air shower experiment in Tibet. About 4 x 10
(8) events were analyzed to search for shower clusters appearing in a
given time interval and a given small sky bin. An equal-zenith angle m
ethod is used to estimate the background. Some clusters show the exces
s to the background but with less significance as the evidence of gamm
a-ray bursts. The much-higher sensitivity of the Yangbajing Phase II a
rray to the detection of the 10 TeV gamma-ray bursts is discussed.