  We prove that the weak solution of a uniformly elliptic stochastic
differential equation with locally smooth diffusion coefficient and H\"{o}lder
continuous drift has a H\"{o}lder continuous density function. This result
complements recent results of Fournier-Printems \cite{F1}, where the density is
shown to exist if both coefficients are H\"{o}lder continuous and exemplifies
the role of the drift coefficient in the regularity of the density of a
diffusion.
