Jesty played 10 one-day internationals for England, most of them during the Benson &amp; Hedges World Series Cup tournament in 1983. His highlight was scoring 52* off 35 balls against New Zealand at Adelaide. He was named in the England squad for the 1983 World Cup. He was named as one of the five Wisden Cricketers of the Year in 1983 for his performances during the 1982 English cricket season.