A eukaryote is any organism whose cells contain a nucleus and various other membrane bound intracellular compartments. Therefore, by definition, humans are an example of a eukaryotic organism.
Plants, fungi and animals are all examples of eukaryotic organisms, whereas bacteria and viruses are considered prokaryotes. The eukaryote cell is in excess of 1,000 times the mass of a prokaryote. Furthermore, they are capable of many more metabolic processes due to them having specialized structures called organelles. The main difference is the presence of the nucleus, and it is this feature that eukaryotes derive their name from, as the word means "true nucleus."