It is possible for humans to be infected with both Round and Tape worms, the latter is very rare however, as it requires eating an infected flea.
Roundworms are more of a concern, particularly in children, where ingestion of the eggs may result in migration of the worm larvae through the body and potential damage. This is much more of a risk with the dog roundworm (Toxocara canis) but can still occur occasionally with Toxocara cati.
Due to the potential human health hazard, as well as the possible ill-health to the cat, regular worming of cats is important. In addition, careful disposal of litter from litter trays is important, and ideally the tray should be disinfected weekly with boiling water.