Collins Obuya (98 not out) fell agonizingly short of a century as he and Tanmay Mishra (72) led the resistance for Kenya, which finished on 264-6, its highest score of the tournament.

However, the Kenyans' scoring rate never really threatened Australia, which earlier posted a daunting 324-6 helped by a key innings from the returning Mike Hussey.

Hussey (54) and Michael Clarke (93) put on 114 runs for the fifth wicket after Kenya bowled tenaciously early on.

Australia, unbeaten in 33 World Cup matches, has seven points from four games, one behind Group A leader New Zealand.