Induction coilgun usually generates pulsating electromagnetic force which causes the large acceleration force fluctuation of the armature during the launch process. The excessive peak of acceleration force and the inordinate acceleration force fluctuation may be harmful to the load, especially for those carrying sensitive electronic components, which limits the value of induction coil emitters in practical engineering applications. Addressing the above questions, a new type of driving circuit for multi-capacitance time-sharing triggering is proposed, and the feasibility of the circuit is illustrated by analyzing the influence of the change of capacitance value and armature triggering position on the emission efficiency of the launcher. Three modes of driving circuits are designed for comparison, and the calculation results show that: under the conditions of the same initial energy storage and the approximate muzzle velocity of the armature, compared with other circuit triggering modes, in the time-sharing triggering mode proposed, the peak of electromagnetic acceleration force of the armature is reduced by 2.04 kN, and the acceleration force fluctuation is reduced by 2.36 kN. Therefore, the driving circuit with time-sharing triggering capacitor could effectively reduce the peak acceleration force and acceleration force fluctuation, and provides reference value for the design of the induction coilgun with sensitive loads.