The acceptance of preschool inclusive education by parents of young children is an important link in promoting the implementation of inclusive education. Taking the parents of kindergarten J in Shaoxing City, Zhejiang Province as an example, the cognitive, affective and behavioral dimensions of acceptance of 114 parents were investigated using a questionnaire method, aiming to understand the acceptance of inclusive education by parents of young children and its influencing factors. The results showed that parents’ acceptance of preschool inclusive education was more positive in cognitive, affective and behavioral dimensions, and the cognitive dimension was the highest, followed by the affective and behavioral tendency dimensions, respectively. Statistical analysis showed that there were significant differences in parents’ acceptance of inclusive education in terms of age, but not in terms of gender and education. The main factors affecting parents’ acceptance of inclusive education are the lack of policy and financial support, teachers’ lack of inclusive education skills, and insufficient kindergarten facilities and equipment. In order to improve parents’ acceptance of preschool inclusive education, the government should increase support for preschool inclusive education and introduce relevant policies and regulations to ensure the implementation of inclusive education; teachers should actively participate in training on inclusive education to improve their professional abilities; kindergartens should establish a sound inclusive education system to ensure adequate material and spiritual support.