Let $Omega$ be a smoothly bounded pseudoconvex domain in $C^{n}$ and let $z^{0}$ $in$b$Omega$ a point of finite type. We also assume that the Levi form of b$Omega$ is comparable in a neighborhood of $z^{0}$ . Then we get precise estimates of the Bergman kernel function, $K_{Omega}$(z, w), and its derivatives in a neighborhood of $z^{0}$ . .