Alcippe, or Alkippê was a figure in Greek mythology. She was the daughter of Ares and Aglaulus.

When Halirrhotius, son of Poseidon, raped Alcippe, Ares' daughter by Aglaulus, Ares killed him for which he was tried in a court, the first trial in history on the mountain named Aerophagus, which was named after Ares. He was acquitted in court by all twelve gods.