Law Kwok-tai, is a football coach and a former Republic of China international footballer, but born and spent his entire playing and coaching career in the British Hong Kong, a colony that geographically located in the southern China. Law retired as a professional footballer in 1976, aged 47. That season he was a player-manager. He coached until the 1990s, at aged 60s. At international level he played for Republic of China in the Olympics as well as Asian Games and AFC Asian Cup. He also played for Hong Kong League XI in non-official match in Merdeka Tournament, as well as "Hong Kong Chinese" team in another friendly tournament, Ho Ho Cup.
After retirement as a professional footballer, Law became a football coach. He coached Eastern,, Kwong Wah, Sea Bee, Tsuen Wan, Po Chai Pills, Happy Valley, as well as Martini and Singtao in the 1990s. Those clubs were all based in Hong Kong.
Law was the head coach of Tsuen Wan from 1982. He was dismissed in January 1983.
Eastern (second and the third spells)
Law was the head coach of Eastern in the 1980s. He resigned in April 1985. The club also promoted his assistant But Wai-hong as head coach. Law was re-hired by Eastern in November 1985 as vice-manager and head coach. In the next season, Law and Leung Chun-kuen were hired as joint-head coach of Eastern in June 1986. The latter was promoted from footballer and would attended coaching class in August 1986 in the United Kingdom. In June 1987, Law was re-assigned from the head coach to the technical consultant of Eastern. Soon later he left the club.
Po Chai Pills
Law was hired as head coach by Po Chai Pills, a newcomer of 1987–88 Hong Kong First Division League in 1987. The club is a namesake of the Po Chai Pills, a proprietary Chinese medicine. The club relegated back to the second division in 1988.
Happy Valley
Law and were hired by Happy Valley as joint-head coach in 1988, while the former manager Mr. Leung/Leong/Liang was assigned a more administrative role by the head of the football section of the club, Ricky Yu Kam-wai, as an assistant of Yu's brother, Lawrence Yu Kam-kee. He won Hong Kong First Division League with Happy Valley in 1989. However, his contract was not renewed.
Martini
Law was hired by Martini, a club from the second division as head coach in the 1990–91 season. He resigned in January 1991 but changed his mind in the same month. He resigned again in March 1991.
Singtao
Law was hired by Singtao in June 1991, replacing .
Law was known for pro-Republic of China as his political affiliation. In 1962, an advertisement on New Evening Post, claimed Law and some of the footballers, congratulated the 12th anniversary of the establishment of New Evening Post, a pro-People's Republic of China newspaper. However, another open letter on , a pro-Republic of China and Kuomintang newspaper, Law and three other people, declared that they did not endorse to put their names on the advertisement. Law died on 1 September 2013 in the Eastern Hospital, Hong Kong, according to Eastern Football Team; or before 2014, according to former teammate Law Pak during an interview.