  The rare decays $B_{(s,d)}^*\to l^+ l^-$ are important to probe the flavour
sector of the standard model and to search new physics beyond the SM. Unlike
pseudoscalar B meson, the leptonic decays of vector $ B_(s,d)^*$ mesons are not
chirally supressed which compensates for their short lifetimes, and results
significant branching ratios. In this paper, we estimate the branching ratios
of $B_{(s,d)}^*\to l^+ l^-$ $(l=e,\mu)$ rare decays in Z' model which is an
extension of the SM with an extra U(1)' gauge symmetry. We find that the
branching ratios are increased from their corresponding standard model values
and vary with the mass of $Z'$ boson. Lower is the mass of $Z'$ boson, higher
is the branching ratio.
