Bacteria are prokaryotic cells, i.e., they do not have a membrane-delimited nucleus. Eukaryotes have cells with a delimited nucleus. Where in these types of cells can DNA be found?
In eukaryotic cells DNA is found within the cell nucleus. In prokaryotic cells DNA is found dispersed in the cytosol, the fluid space inside the cell. Other DNA molecules can also be found within mitochondria and chloroplasts, specialized organelles of eukaryotic cells.