The Cr isotopic composition of primitive meteorites (acid-residue fractions) was studied. Five chondrites were analyzed in this work [Allende (CV3), Murchison (CM2), Nuevo Mercurio (H5), La Criolla (L6), Qingzhen (EH3)]. Although in most samples, no isotopic anomalies beyond the experimental errors could be detected, an elevated ^Cr/^Cr ratio was found in the acid-soluble fraction from Qingzhen. Moreover, ε^Cr and ε^Cr show an inverse correlation among the meteorites analyzed in this study, and the acid residues have larger ε^Cr and smaller ε^Cr values than do the acid-soluble fractions in Allende and Murchison. The enrichment of ^Cr in the Qingzhen sample suggests that the ^Cr heterogeneity due to stellar nucleosynthesis has remained in enstatite chondrite as well as carbonaceous chondrite. In addition, the inverse correlation of ε^Cr and ε^Cr detected in acid residue samples indicates that the high-temperature condensate contained more exotic ^Cr. It is also suggested that the homogenization of Cr isotopes proceeded with time, and terminated within a relatively short time scale of less than 2-3 Ma