Natori was born in Saitama on November 12, 1961. After graduating from Teikyo High School, he joined Mitsubishi Motors (later "Urawa Reds") in 1980. The club won the champions in 1980 Emperor's Cup, 1981 JSL Cup and 1982 Japan Soccer League. Although he played as regular player from first season, he also played Division 2 because from the end of the 1980's the club performance was not good. In 1993 and 1994, the club finished at bottom place and he retired in end of 1994 season.