  The evolution of scalar, electromagnetic and gravitational fields around
spherically symmetric black hole surrounded by quintessence are studied with
special interest on the late-time behavior. In the ring down stage of
evolution, we find in the evolution picture that the fields decay more slowly
due to the presence of quintessence. As the quintessence parameter \epsilon
decreases, the decay of l=0 mode of scalar field gives up the power-law form of
decay and relaxes to a constant residual field at asymptotically late times.
The l>0 modes of scalar, electromagnetic and gravitational fields show a
power-law decay for large values of \epsilon, but for smaller values of
\epsilon they give way to an exponential decay.
