  In this paper, we evaluated the quasinormal modes of electromagnetic
perturbation in a Schwarzschild black hole surrounded by the static spherically
symmetric quintessence by using the third-order WKB approximation when the
quintessential state parameter $ w_{q}$ in the range of $-1/3<w_{q}<0$. Due to
the presence of quintessence, Maxwell field damps more slowly. And when at
$-1<w_{q}<-1/3$, it is similar to the black hole solution in the ds/Ads
spacetime. The appropriate boundary conditions need to be modified.
