A search for excited leptons e*, mu*, tau* and nu(e)* in e(+)e(-)collisions at root s = 161 GeV is performed using the 10.8 pb(-1) of data collected by the L3 detector at LEP. No evidence has been found for their existence. From an analysis of the expected l*l* pair production in the channels ee gamma gamma, mu mu gamma, tau tau gamma gamma, eeWW, and nu nu gamma gamma, the lower mass limits at 95% C.L. are 79.7 GeV for e*, 79.9 GeV for mu*, 79.3 GeV for tau* and 71.2 GeV for nu(e)* assuming the same couplings as for standard leptons. From an analysis of the expected ll* single production in channels ee gamma, mu mu gamma, tau tau gamma, nu(e)eW and nu nu gamma, the upper limits on the couplings lambda/m(l*) up to m(l*) = 161 GeV are determined. (C) 1997 Published by Elsevier Science B.V.