Luckhurst was born in Sittingbourne, Kent. Originally part of Kent team as a left-arm spinner, by the end of 1961, Kent were contemplating releasing him from their staff. Being given a contract for just one year, Luckhurst re-thought his strategy and worked on his batting and played in a side not performing well. He worked his way up the batting order to become a dependable opener.

In 1969 he amassed almost 2,000 runs and by the following year he 'debuted' against the Rest of the World in 1970, and made an unbeaten 113 in England's only victory in the "Test series", but the I.C.C. later cancelled the Test status of this series, and the runs scored were removed from his Test average. He debuted again in Australia in 1970–71, making 455 runs (average 56.87), including two centuries, and was named a Wisden Cricketer of the Year in 1971 for his efforts. With Geoff Boycott and John Edrich he added 624 runs for the first wicket at an average of 69.93, with two century and three half-century opening stands. He made 131 in the Second Test at Perth in its inaugural Test match, and so became the first batsman to make a Test century at the WACA. In a tour match against Northern New South Wales he made 111 and 45, but had to retire hurt with bruised fingers. He still batted in the Fifth Test at Melbourne, rescuing the first innings with 109, despite his damaged hands, but did not bat in the second innings. Missing the Sixth Test due to injury, Luckhurst made his return in the Seventh as Boycott was unavailable, having had his arm broken by Garth McKenzie. Luckhurst made a vital 58 as he and John Edrich (57) put on 94 for the first wicket to lay the foundations of England's second innings 302 when they were 80 runs behind. Australia were dismissed for 160 and England won the Test by 62 runs to regain The Ashes.

Unable to cope with the pace bowlers of the West Indies and Australia in the mid 1970s, Luckhust retired in 1976, but kept working at Canterbury as coach, then manager, then on youth development and finally as Club President.^[1]

He was married twice, to Elaine and Raye, had two sons with Elaine and a stepson. His autobiography was called Boot Boy to President.

Luckhurst died in March 2005, in Kent, from oesophageal cancer, at the age of 66.