Mozes was born in Ramat Gan as the second of four children of Noah Mozes, managing editor of the newspaper Yedioth Ahronoth and Paula Mozes, an owner of Yedioth Ahronoth. Mozes studied in Ramat Gan at the "Nitzanim" elementary school and the Ohel Shem high school. When he was about five years old, his older brother was run over by a bus and seriously injured. He eventually died a month later from his injuries.

On 25 September 1967 Mozes was driving his father's car