Abstract: The dominance of zero-spin ground state of even-even nuclei by two-body random ensemble(TBRE) is attributed to some of the two-body matrix elements(TBMEs). In this paper, we investigate the correlation between the probability of spin-zero ground state and TBMEs through enhance each TBME by changing the width of distribution and keep other TBMEs with standard gaussian distribution. We find that the probability of spin-zero ground state is insensitive to some TBMEs. Moreover, we further investigate the probability of spin-zero ground state through setting the centroid of TBME to realistic interaction, we find that the probability of spin-zero ground state is correlate with the centroid of TBME.