Rami, the son of Henry and Fortuna Brami, was born on September 8, 1955, in Be’er Sheva. In 1974 he enlisted in the Golani army service. After his military service, Rami met a police officer who suggested that he enlist in a police service. Rami started his service in the Negev Brigade (a unit dealing with serious crimes) and then moved to the national traffic police until his death.