  The recent measurement of the muon anomalous magnetic dipole moment shows
2.6$\sigma$ deviation of $a_\mu$ from the standard model prediction which can
be explained by a chargino-sneutrino loop correction in the supersymmetric
models. In this paper we consider extra U(1) models where the $\mu$ parameter
is radiatively generated. This model predicts the sign of $\mu$ is positive in
wide parameter regions. But even the 2$\sigma$ constraint causes a serious
contradiction to the experimental bound of the extra neutral gauge boson mass.
Although a minimal supergravity scenario is ruled out, a very small window is
remained as an allowed region for a no-scale model with non-universal gaugino
masses.
