Socrates was born in Alopeke, and belonged to the tribe Antiochis. His father was Sophroniscus, a sculptor, or stonemason. His mother was a midwife named Phaenarete. Socrates married Xanthippe, who is especially remembered for having an undesirable temperament. She bore for him three sons, Lamprocles, Sophroniscus and Menexenus.

Sokrates był synem kamieniarza i rzeźbiarza z Aten - Sofroniskosa.