We have performed muon spin relaxation (muSR) measurements of polycrys
talline specimens of Y1-xUxPd3 with x=0.1, 0.2, 0.4 and UPd4. We demon
strate that UPd4 and Y0.6U0.4Pd3 exhibit spin glass order, while the p
redominant volume fraction remains nonmagnetic at T --> 0 in Y0.8U0.2P
d3 and the muon spin relaxation rate becomes even smaller in Y0.9U0.1P
d3, indicating the disappearance of magnetic order with decreasing U c
oncentration x. These results are discussed in terms of the competitio
n between the crystalline electric field splitting DELTA(CEF) and the
exchange coupling J.