The name Hercules is a Greek baby name. In Greek the meaning of the name Hercules is: In Hera's service. The mythological Greek Hercules was a son of Zeus and an extraordinarily strong man. Latin Meaning: The name Hercules is a Latin baby name.In Latin the meaning of the name Hercules is: Glory of Hera.Glorious Gift.Derived from the Greek name Heracles.n Greek the meaning of the name Hercules is: In Hera's service. The mythological Greek Hercules was a son of Zeus and an extraordinarily strong man. Latin Meaning: The name Hercules is a Latin baby name. In Latin the meaning of the name Hercules is: Glory of Hera. Glorious Gift.