More played for the India Under-19 team in the late 1970s. He played for Tata Sports Club in the Times Shield in Bombay and for Barrow in the North Lancashire League in 1982. He toured West Indies as the understudy to Syed Kirmani in 1982–83 without playing in a Test.
More played two major innings for Baroda in the Ranji Trophy in 1983–84 – 153* against Maharashtra and 181* against Uttar Pradesh. On the latter occasion, he added 145 for the last wicket with Vasudev Patel which stood as a Ranji record for nearly a decade. Baroda qualified for the semifinal before losing to Delhi. More appeared in two One Day Internationals against England in 1984–85.
More toured Australia with the Indian team in 1985–86. When an injury in an early match of the World Series Cup virtually ended the international career of Kirmani, More played in the remaining matches of the tournament. This tour starting in late 1985 is not to be confused with the famous winning tour for the World Championship of Cricket in early 1985, also in Australia. From then till 1993, More was the first choice as the wicket keeper for India in Tests. In one day matches, he often lost the place to wicket keepers who were better batsmen.
More's first Test series, against England in 1986, was his most successful. He took 16 catches in three Tests – an Indian record against England – and came second in the batting averages. More was a small, busy batsman who often played important innings when the regular batsmen failed. He scored 50 at Barbados against West Indies in 1988–89 when India lost the first six wickets for 63, and 58* against Pakistan at Karachi when India were struggling to save the follow-on. More considered the Karachi innings the best of his career. Against West Indies at Madras in 1988–89, he stumped six batsmen, five of them in the second innings, both of which remain as Test records.
More was selected as Mohammad Azharuddin's vice captain in the team that toured New Zealand in 1989–90. In the second Test at Napier he scored his highest score of 73. He lost the vice captaincy to Ravi Shastri later that year in England. In the Lord's Test, More dropped the English opener Graham Gooch when he was 36, who went on to score 333 runs. In the 1992 World Cup More was involved in a minor controversy when his constant appealing led Javed Miandad to mockingly leap up and down, apparently imitating More.
By early 1994, he lost his place in the Indian team to his Baroda team-mate Nayan Mongia. More played purely as a batsman for the state side when both were available. He captained Baroda till 1998.
More started the Kiran More-Alembic cricket academy in 1997. He was the Chairman of selectors for the Indian team from 2002–2006.
During his tenure as the Chairman of the Selection Committee he vowed to encourage and promote young cricketers by creating room for them in the Indian Cricket team by removing old and experienced players.
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