Prokaryotes are single-celled organisms (e.g. bacteria) which lack any membrane bound organelles. Thus, they are anuclear (have no nucleus) and their DNA is circular and found in the nucleoid area of the prokaryote.
On the other hand, eukaryotes are multicellular organisms such as plants, animals and funghi. Unlike prokaryotes, the DNA of eukaryotes are arranged intro chromosomes and held in a nucleus.
As well as this, prokaryotes have smaller ribosomes than eukaryotes. They also have cell walls (unlike eukaryotes). Prokaryotes may also have a flagella or plasmid DNA.