  We investigate the lepton flavor violation decays of vector mesons in the
scenario of the unparticle physics by considering the constraint from $\mu-e$
conversion. In unparticle physics, the predictions of LFV decays of vector
mesons depend strongly on the scale dimension $d_{\mathcal{U}}$. The
predictions of LFV decays of vector mesons can reach the detective sensitivity
in experiment in region of $3\le d_{\mathcal{U}}\le 4$, while the prediction of
$\mu-e$ conversion rate can meet the experimental upper limit. For the
searching of the lepton flavor violation processes of charged lepton sector in
experiment, the process $\Upsilon\rightarrow e\mu$ may be a promising one to be
observed.
