Cell Walls – Bacteria (prokaryotes of the domain Eubactera) have cell walls that contain the molecule peptidoglycan. No other type of organism has a cell wall containing this molecule. Prokaryotes in the domain Archea have cell walls, but they are made of materials other than peptidoglycan. Eukaytotic animal cells do not have cell walls. Eukaryotic plants and fungi have cells walls, made of cellulose and chitin, respectively.