Lacrosse has not yet been included in the Commonwealth Games, except that at the 1978 Commonwealth Games in Edmonton, Alberta, Canada, there was an exhibition of lacrosse, Canada's national sport. The matches were played as the Box Lacrosse version, played indoors on a smaller ice hockey arena with six players in each team. Australia participated in that tournament.
It is mooted that Hamilton, Ontario, Canada, is a contender to host the 2030 Commonwealth Games, the centenary of the first ever Commonwealth/ British Empire Games. If they are successful then lacrosse will be a very serious contender for inclusion.
Lacrosse Sixes would be the discipline of choice for inclusion in the Commonwealth Games.