This study aimed to conduct a kinetic analysis of the lateral and vertical jumps of elite male basketball players through a 12-week axial stability training program to improve sports performance. Thirty elite Taiwanese male basketball players were openly recruited and divided into experimental groups and control groups. The experimental group conducted the test twice a week, a 12-week (24-session) axial stability training program intervention in total, and the control group only received general basketball training. A double-track force plate was used to measure lateral and vertical jumps in order to understand their dynamic parameters. Finally, a difference analysis between the post-test of lateral and vertical jumps was conducted. The results show that the axial stability training program affected the activation of the abdominal and lower limb extensor muscles and had a stabilizing effect on the muscles of the experimental group. When the participants conducted a lateral jump, they were able to stand firm within 1 s and take off instantly. The θ value of the T-PRF ranged from 60.7° to 68.6°. The post-test of the participants’ vertical jump showed that the kurtosis of the RFD was steeper, the time required for the RFD was shorter, the GRF and the duration of passage increased, and the experimental group was better than the control group in all post-tests. By comparing the two types of jumps, it was found that they had the vertical force in common. The main differences were in the reaction force of the leg strength, the jump distance and height, and the take-off angle.