Nachamn has competed at a total of five Paralympics for Israel, his first games in Stoke Mandeville/New York in 1984 were his most successful as he picked up gold in the discus and shot putt and silver in the javelin and pentathlon missing out on gold to Sweden's Raymond Clark in both events. Four years later in Seoul at the 1988 Summer Paralympics Nachman finished sixth in the pentathlon won a second silver in the javelin added a silver in the shot putt and defended his title in the discus. After finishing way down the field in each of the throws in 1992, Nachman returned in 1996 finishing fourth in both the shot and javelin he won a silver in the discus. He returned for a last time in the 2000 Summer Paralympics where he competed in a wheelchair in all three throws but failed to add to an impressive medal tally.