A search with the DELPHI detector at LEP for excited leptons (e, mu*,
tau and nu*) decaying through gamma, W or Z transitions is reported.
The data used correspond to an integrated luminosity of 10 pb(-1) e()e(-) centre-of-mass energy at an e of 161 GeV. The search for pair pr
oduced excited leptons established the limits m(e) > 79.6 GeV/c(2), m
(mu) > 79.6 GeV/c(2), m(tau)* 79.4 GeV/c(2) and m(nu)* > 56.4 GeV/c(2
) at 95% confidence level, assuming that the SU(2) and U(I) couplings
of excited leptons are in the same ratio as for normal leptons and con
sidering both left and right-handed components. Limits corresponding t
o other assumptions are also given. The search for single excited lept
on production established upper limits on the ratio lambda/m(l) of th
e coupling of the excited lepton to its mass.