The rate and efficiency of polyadenylation of late polyomavirus RNA in the nucleus of productively infected mouse kidney cells were determined by measuring incorporation of [3H]uridine into total and polyadenylated viral RNAs fractionated by oligodeoxythymidylic acid-cellulose chromatography. Polyadenylation is rapid: the average delay between synthesis and polyadenylation of viral RNA in the nucleus is 1 to 2 min. However, only 10 to 25% of viral RNA molecules become polyadenylated. Polyadenylated RNAs in the nucleus are a family of molecules which differ in size by an integral number of viral genome lengths (5.3 kilobases). These RNAs are generated by repeated passage of RNA polymerase around the circular viral DNA, accompanied by addition of polyadenylic acid to a unique 3' end situated 2.2 + n(5.3) kilobases from the 5' end of the RNAs (n can be an integer from 0 to at least 3). Between 30 and 50% of the sequences in nuclear polyadenylated RNA are conserved during processing and transport to the cytoplasm as mRNA. This is consistent with the molar ratios of nuclear polyadenylated RNAs in the different size classes, and it suggests that most polyadenylated nuclear RNA is efficiently processed to mRNA. Thus, the low overall conservation of viral RNA sequences between nucleus and cytoplasm is explained by (i) low efficiency of polyadenylation of nuclear RNA and (ii) removal of substantial parts of polyadenylated RNAs during splicing. The correlation between inefficient termination of transcription and inefficient polyadenylation of transcripts suggests that these two events may be causally linked.