The soliton microcomb offers a unique and compact solution for photonics applications. However, the micro-comb is suffering from the perturbations arising from complex higher-order effects such as self-steepening and third-order dispersion, leading to the temporal drift of soliton and the deviation of repetition rate. It is unfa-vorable to the stability in time and frequency domains. In this work, we numerically and theoretically demon-strate that the injection-locking scheme can effectively eliminate the soliton temporal drift and repetition rate deviation caused by complex higher-order effects. The mechanism of eliminating drift and deviation is explained, and the theoretically predicted stable soliton temporal position agrees well with the simulation. The modulation depth plays a key role in suppressing drift, and an experimental guide for adjusting modulation depth is given. This work enriches soliton dynamics under complex higher-order effects and provides a scheme to improve the stability and controllability of microcombs.