New cloning technologies and more efficient DNA sequencing now permit comprehensive structural studies of complex eukaryotic genomes. Previous global investigations of genome organisation in plants had shown that abundant repetitive DNAs were intermixed with genes. However, the nature of the major repeats, their possible biological roles, their origins, and their precise patterns of organisation were not clearly defined. My laboratory has used large clones derived from homologous regions of the maize, sorghum and rice genomes to investigate the nature, functional properties and evolution of grass genome organisation. Unexpectedly simple patterns of genome composition and arrangement have been seen, and these appear to be similar in different grasses. Our detailed studies of the maize genome indicate that short (2-20 kb) blocks of gene-containing DNA alternate with large (2-200 kb) blocks of intermixed middle and highly repetitive DNAs. Most of the highly repetitive sequences, and many of the middle repetitive DNAs, are retrotransposons that have inserted within each other. These repetitive DNAs are usually methylated and mostly inactive, but they are homologous to transcripts found in many different tissues. The unmethylated DNA is composed primarily of genes interspersed with lower-copy-number retroelements and inverted-repeat transposable elements. Gene order and sequence are highly conserved, but the mobile DNAs between genes appear to be different due to their rapid evolution and their variable presence or locations in different grasses.