For a facility using multi-group magnetic cores, its operation stability will be affected by the different working points of the multi-group magnetic cores being reset in parallel. A direct current reset system of the multi-pulse induction cells is developed instead of the original parallel pulsed reset system for a multi-pulse high power Linear Induction Accelerator (LIA) at burst mode. Resetting multi-group magnetic cores one by one is realized by a separate relay switch for every induction cell and constant current sources with periodical output using the direct current reset system, and the problem of inconsistency in working points caused by parallel pulsed reset is effectively resolved. During engineering implementation, the system operates with two sets of constant current sources and eight switch control boxes to reset 94 groups of induction cell magnetic cores, significantly reducing system complexity and maintenance costs. Practical validation demonstrates that the improved accelerator exhibits enhanced multi-pulse stability, with beam centroid position jitter reduced from 1.3 mm to less than 1 mm. This paper describes the physical design of the direct current reset unit, introduces the layout of the whole reset system which includes the main units, and presents the improvement effect.