A search for GRBs of energy E > 10 GeV has been performed by studying the s
ingle particle counting rate of the EAS array EASTOP. No candidates have be
en observed in coincidence with 292 BATSE GRBs and the typical upper limits
obtained on the energy fluence are F(10 GeV divided by 1 TeV) similar to 1
0(-4) divided by 10(-3) erg cm(-2) for the events with zenith angle theta <
30 degrees. A single candidate has been observed in the "all sky" survey m
ode during 1.5 10(3) days.