Nataf represented France at the European Team Chess Championship in 1999 and at Olympiads in 2000 and 2004. In the 2000 FIDE World Championship, he beat Emil Sutovsky and Nigel Short before losing to the Brazilian grandmaster Rafael Leitão in round 3. He was less successful in the 2001–02 World Championship, beating Viktor Bologan in round 1 but losing to Konstantin Sakaev in round 2.