He Had Several Children, But None With His Wife, Aphrodite

In most Greek stories, Aphrodite, the goddess of love, gender, and beauty, is recognized as the spouse of Hephaestus. However, although it is known that couples have multiple offspring other than marriage, they do not give birth to children together. Periphetes, sometimes called Corynetes (Club Bearer), is said to be the son of Anticlea's Hephaestus. Periphetes was lame on one leg like his father, and his one eye was like a cyclops. Hephaestus is said to have raised three sons (Cabeiri) and three Cabeiri nymphs with the sea nymph Cabeiri while on the island of Lemnos. It was known that these gods were worshiped in a mysterious cult closely related to the Hephaestus cult.

There are other lesser-known children due to Hephaestus, but the most well-known of his descendants are the legendary early rulers of ancient Athens, believed to be half-human and half-snakes. This is Erichthonius. Erichthonius is said to have been born on Earth and raised by Athena herself. According to mythology, Hephaestus once tried to impose himself on Athena in a crazy desire. When the virgin goddess struggled to push him away, some of the sperm of Hephaestus fell on her thighs. Athena wiped her seeds with her wool and threw a cloth from Olympus. When the cloth landed on Earth, Gaia, the goddess of the Earth, accidentally infiltrated the seeds of Hephaestus, and Erichthonius was born. Athena later raised her child as her own.