Children ever born (CEB) is a prevalent problem in all regions for women and has resulted in a major drop in fertility. The problem of modeling count data with lower zeros and under dispersion, which occur in various disciplines, limits the use of typical models for count results. This study is intended to determine the impact of the CEB count on factors influenced between 2019 and 2020. This study used secondary data from the National Family Health Survey. Data was collected from 10522 women in Andhra Pradesh between the ages of 15 and 50. The Hurdle Poisson regression model was the best, revealing that women's age and fertility preference significantly influenced CEB in AP fertility in India. It is important to identify the causes of CEB to develop policies that integrate health, education, economic, and social activities to create a supportive environment for women to make informed decisions about their reproductive health.