  We evaluate the quasinormal modes of massless scalar field around
Reissner-Nordstr$\ddot{\text{o}}$m black hole surrounded by a static and
spherically symmetric quintessence by using the continued fraction method. The
appropriate Frobenius series for three special cases of the quintessence
parameter $ \epsilon = -1/3, -2/3$ and $-1$ are derived successfully. We show
that the variation of quasinormal frequencies with charge of the black hole and
the quintessential parameters. The numerical results show that quintessence
field decreases oscillation frequencies of all angular momentum $l$ modes and
increases the damping time of $l>0$ modes.
