We study in the framework of R-parity violating supersymmetric theorie
s the effect of R-parity violation due to the operator L-i L-j (E) ove
r bar(k) on the (V - A) structure of the muon decay. The precisely mea
sured muon decay parameters can constrain a produce of R-parity violat
ing couplings: \lambda(232)lambda(131)\ < 0.022 at the 90% CL, which i
s complementary to the previous limits obtained by the e-mu universali
ty in tau decay. (C) 1998 Published by Elsevier Science B.V. All right
s reserved.