Davidson was born in Tel Aviv, Israel, to a Jewish family. He started his career by directing the television show "Lool" (1969) and the music documentary "Shablul" (1970). Later he directed Israeli cult films such as "Charlie Ve'hetzi" (1974) and "Hagiga B'Snuker" (1975). In 1974 he directed the film "Mishpahat Tzan'ani". He directed the first four films in the "Eskimo Limon" series ("Eskimo Limon" (1978), "Yotzim Kavua" (1979), "Shifshuf Naim" (1981), "Sapiches" (1982). "Eskimo Limon" was entered into the 28th Berlin International Film Festival in 1978. In 1986 he directed the cult film "Alex Holeh Ahavah".