Matsuki was born in Chuo, Tokyo on November 28, 1957. He joined Japan Soccer League Division 2 club Yomiuri from youth team in 1973. The club was promoted to Division 1 in 1978. The club won the champions in Japan Soccer League 3 times, JSL Cup 2 times and Emperor's Cup 3 times. From 1983, he also served as captain. This was golden era in club history. He retired in 1990. He played 269 games and scored 9 goals in the league. He was elected Best Eleven 3 times.
After retirement, Matsuki started coaching career at Yomiuri (later Verdy Kawasaki, Tokyo Verdy) in 1990. In 1993, he became a manager. The club won the champions at J1 League and J.League Cup and he was elected Best Manager awards for 2 years in a row (1993-1994). He resigned end of 1994 season. In 1998, he signed with Cerezo Osaka and managed in 1 season. In 2001, he returned to Tokyo Verdy in the first year after relocating to Tokyo. However he was sacked in July.