With the development of society, the number of autistic children in China is increasing, which not only makes the family’s happiness very low, but also seriously affects the development of teenagers and society. Among the symptoms of autistic children, early childhood communication skills have received extensive attention. In traditional rehabilitation training, with a lack of parents’ participation, most of the training cannot arouse the interest of autistic children, so the treatment effect is not obvious. Based on this, this paper proposes the application of family sports games to improve the early communication ability of autistic children. This article aims to investigate the role of family sports games in promoting the development of early communication skills in autistic children. This paper uses the fuzzy comprehensive evaluation method to score the comprehensive ability of family sports games. The experimental results of this paper show that before the experiment, the comprehensive scores of children’s communication ability in the control group and the experimental group were 18.92 and 18, respectively, which were generally low, and there was no significant difference. This shows that the communication skills of the two groups of children before the experiment are relatively poor. After the test, the children’s comprehensive score of communication ability in the experimental group increased by 35.8 points, and the difference was significant, indicating that family sports games have a great impact on the development of children’s communication ability.