We study the variation of Taiwan stock market using the statistical methods developed recently by econophysicists. We found that the Taiwan market does have a fat tail as found in the markets of other countries, but it does not follow a power law as the others. The cumulative distribution of daily returns in Taiwan stock index can be fitted quite well using the log-normal distribution, and even better by a power law with an exponential cutoff. We believe that the distinct behavior of Taiwan market is mainly due to the protective measures taken by the government.