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Using the brick wall regularization of 't Hooft, the entropy of non-extremeand extreme black holes is investigated in a general static, sphericallysymmetric spacetime. We classify the singularity in the entropy by introducinga {\it new} index $\delta $ with respect to the brick wall cut-off $\epsilon $.The leading contribution to entropy for non-extreme case $(\delta \neq 0)$ isshown to satisfy the area law with quadratic divergence with respect to theinvariant cut-off $\epsilon_{{\rm inv}}$ while the extreme case $(\delta =0)$exhibits logarithmic divergence or constant value with respect to $\epsilon $.The general formula is applied to Reissner-Nordstr\"{o}m, dilaton andbrane-world black holes and we obtain consistent results.Comment: 19 page

Solution-independent analysis of black hole entropy in brick wall model