Kyra /kyra/ [2 sylls.] as a girls' name is pronounced KEER-ah. It is of Greek origin, and the meaning of Kyra is lord. From the male name Kyros (see Kyrie), from the Persian and Egyptian word for like Ra, the sun.A short form of Kyria, the Greek title of respect for a woman.In Slavonic it means strong woman.t is of Greek origin, and the meaning of Kyra is lord. From the male name Kyros (see Kyrie), from the Persian and Egyptian word for like Ra, the sun. A short form of Kyria, the Greek title of respect for a woman.