In recent years because of the aging population, there have been great changes in Taiwan’s fertility and mortality rates. As the proportion of elderly people aged 65 and over increase dramatically from 2.6% in 1965 to 8.8% in 2001, the decrease of fertility rate is most significant. In 1961, the total fertility rate was 5.58. By 1981, it was dropped to 1.67and in 2001,further to 1.4, a reduction of almost 70% within 20 years. This paper examines the fertility pattern in the Taiwan area. In particular, it aims to review the various fertility models and seek for the model that is most appropriate for describing the situation in Taiwan. The models considered are Gamma function, Gompertz function, Lee-Carter method and individual group estimation. Data from 1951 to 1995 is used as a pilot for verifying the model which has the best fit for data gathered from 1996 to 2000. It is found that individual group estimation and the Lee-Carter method have least errors for predicting total fertility rates; while individual group estimation and Gompertz function are more effective for predicting age-specific fertility rates.