We previously demonstrated an increased degradation of mRNAs in mutants of Saccharomyces cerevisiae having blocks in nuclear export. The degradation activity, designated DRN (degradation of mRNA in the nucleus), requires Cbc1p, a nuclear cap-binding protein, and Rrp6p, a nuclear exosome component. Microarray procedures were used to determine the half-lives of mRNAs from normal and mutant strains, leading to the tentative identification of hundreds of normal mRNAs that were notably stabilized when either CBC1 or RRP6 were deleted. Northern blot analysis of representative mRNAs confirmed the diminished degradation. One representative of this group, SKS1 mRNA, was also shown by a cytological procedure to be preferentially retained in the nucleus compared with typical mRNAs. We suggest that all normal mRNAs are subjected to degradation by DRN, but the degree of degradation is determined by the degree of nuclear retention. Furthermore, these mRNAs particularly susceptible to DRN were also diminished by overproduction of Cbc1p, demonstrating a regulatory role for CBC1. This conclusion was corroborated by finding an inverse relationship of the CBC1 and SKS1 mRNA levels in normal strains grown under different conditions.