Reference-frame-independent quantum key distribution (RFI QKD) can generate secret keys without the alignment of reference frames,which is very robust in real-life implementations of QKD systems.However,the performance of decoystate RFI QKD with both source errors and statistical fluctuations is still missing until now.In this paper,we investigate the performance of decoy-state RFI QKD in practical scenarios with two kinds of light sources,the heralded single photon source (HSPS) and the weak coherent source (WCS),and also give clear comparison results of decoy-state RFI QKD with WCS and HSPS.Simulation results show that the secret key rates of decoy-state RFI QKD with WCS are higher than those with HSPS in short distance range,but the secret key rates of RFI QKD with HSPS outperform those with WCS in long distance range.