Mobile robots belong to mechanical devices. Mobile robots are commanded by humans and restricted by the principles established by artificial intelligence technology, mainly to assist humans in dangerous tasks. Intelligent mobile robot is a system that integrates perception, analysis, and decision-making, and it integrates a number of high-end technologies. It is currently the most active field of technological development. Infant sport is essentially a process of cultivating and caring for the physical fitness of children. This article aims to explore the auxiliary role of intelligent mobile robots in the standard training of children’s sports movements. The physique of the early childhood stage is closely related to the entire life stage. Once there is a deviation in the early childhood training stage, there will be very serious consequences. Therefore, the mobile intelligent robot is combined with children’s physical training, and it is expected that it will give correct guidance to improve children’s physical fitness. This article briefly designs the mobile robot, uses two independent wheels and a robotic arm with degrees of freedom, and analyzes the forward and inverse kinematics of the chassis and the robotic arm, which provides a theoretical basis for the design of the control algorithm. This article will focus on the training of children’s sports, explore the current deficiencies in children’s sports, and analyze the reasons and the role that intelligent mobile robots can provide in sports training. The experimental results in this paper show that the balance ability of children standing on one foot with eyes open is mainly distributed in the second, third, and fourth levels. Among them, the second level has the largest number of people, accounting for 52%, the third level accounts for 27%, the fourth level accounts for 22%, and the other levels are less distributed. When the intelligent mobile robot assists children’s movement, the child’s balance ability is generally distributed in the fourth and fifth levels. Among them, the fourth level has the largest number of people, accounting for 52%, followed by the fifth level, accounting for 26%, and the third level accounting for 14%. This shows that the intelligent mobile robot is effective in guiding the movement of young children.