Anomalous $ZZ\gamma$ and $Z\gamma\gamma$ couplings are studied in the process
$e^+e^- \rightarrow Z\gamma$ using the data sample collected by the L3 
detector at LEP at centre-of-mass energies up to 208 GeV. 
The cross section is found to be in agreement with the Standard
Model expectations and limits on the value of these couplings are derived.