  Charge density wave (CDW), the periodic modulation of the electronic charge
density, will open a gap on the Fermi surface that commonly leads to decreased
or vanishing conductivity. On the other hand superconductivity, a commonly
believed competing order, features a Fermi surface gap that results in infinite
conductivity. Here we report that superconductivity emerges upon Se doping in
CDW conductor ZrTe$_{3}$ when the long range CDW order is gradually suppressed.
Superconducting critical temperature $T_c(x)$ in ZrTe$_{3-x}$Se$_x$
(${0\leq}x\leq0.1$) increases up to 4 K plateau for
$0.04$$\leq$$x$$\leq$$0.07$. Further increase in Se content results in
diminishing $T_{c}$ and filametary superconductivity. The CDW modes from Raman
spectra are observed in $x$ = 0.04 and 0.1 crystals, where signature of
ZrTe$_{3}$ CDW order in resistivity vanishes. The electronic-scattering for
high $T_{c}$ crystals is dominated by local CDW fluctuations at high
temperures, the resistivity is linear up to highest measured $T=300K$ and
contributes to substantial in-plane anisotropy.
