  In this paper we study the properties of Schwarzschild black hole surrounded
by quintessence matter. The main objective of the paper is to show the
existence of Nariai type black hole for special values of the parameters in the
theory. The Nariai black hole with the quintessence has the topology $dS_2
\times S_2$ with $dS_2$ with a different scalar curvature than what would be
expected for the Schwarzschild-de Sitter degenerate black hole. Temperature and
the entropy for the Schwarzschild-de Sitter black hole and the
Schwarzschild-quintessence black hole are compared. The temperature and the
curvature are computed for general values of the state parameter $\omega$.
