Aiming at the problem that existing jumping robots cannot precisely control their jumping posture angles, a posture control method for jumping robots based on flywheel reaction force regulation is proposed. During the jump, the reaction force generated by the continuous rotation of the flywheel can be utilized to adjust the robot's posture angle. Each flywheel regulator is controlled using a fuzzy adaptive Proportional-Integral-Derivative (PID) controller. Compared with traditional PID controllers, fuzzy adaptive PID can more quickly adjust the robot's posture angle with smaller tracking errors. Simulation results show that, compared with traditional posture control methods, using flywheel regulation can achieve real-time control of the jumping robot's posture angle more quickly. Especially during continuous jumping, the flywheel can better absorb intermittent impact momentum, allowing the robot's posture angle to remain stable over a larger range. In future work, a physical prototype of the jumping robot will be considered for construction to conduct obstacle-crossing tests in both indoor and outdoor environments.