DNA fragments containing either one or both of the 72-base pair (bp) elements which constitute the SV40 enhancer and the three adjacent 21-bp repeats were associated with histone octomers from chicken erythrocytes in vitro. Both fragments formed complexes with electrophoretic mobilities of nucleosomes containing the appropriate length of DNA. Analysis of DNase I cutting of uniquely end-labeled complexes suggests that the fragment containing a single 72-bp element forms a positioned core particle. Control experiments show that positioning is not due to the 21-bp repeats or to end effects. The fragment with a tandem repeat of the 72-bp element also does not associate randomly with histones. The data are consistent with formation of a core particle on one or the other of the repeated enhancer sequences. We discuss possible functional consequences of such nucleosome positioning.