Hitman was born in Giv'at Shmuel and lived all his life in Ramat Gan. His parents, Holocaust survivors, followed a traditional lifestyle and at the same time, his father, who served as a cantor, sent his children to secular schools. At home they played the songs of the Beatles, the Rolling Stones, Enrico Macias and opera along with liturgical and religious songs. When he was 11, his parents gave Hitman his first guitar, and he taught himself to play it. When he turned 17, he received a piano from his grandmother. From 1971 to 1973, he served in the Israeli Central Command military entertainment troupe, along with Shem Tov Levy, Shlomo Bar-Aba, Dorit Reuveni and others. 
His career began in 1976, when he composed a popular melody for Adon Olam. He became a popular Israeli artist during the 1980s and 1990s. He composed and wrote over 650 songs. His most famous songs include Noladati Lashalom (I Was Born for Peace), Ratziti Sheteda (I Wanted You to Know), Todah (Thank you), Mi yada' sh'kach yihiye (Who Knew It Would Be Like This) and Kan (Here), which reached third place during the 1991 Eurovision Song Contest. Hitman also appeared on the 1980s children's programmes Parpar Nechmad and Hopa Hei and shirim ktanim.
He died after a heart attack at the age of 52 because he smoked cigars. He was buried at the Yarkon Cemetery near Tel Aviv. The City of Ramat Gan renamed Kikar Hashoshanim (Roses Square) in his neighborhood of residence to Kikar Hitman (Hitman Square).