The Association runs four team cup competitions during the summer.  The Chapman Cup is open to all and is run on a knock-out basis, with a handicap element.

The Birstall Cup is the plate competition to the Chapman Cup.  It is open to first round losers from the Chapman Cup and is run on the same handicap basis.

The Harrod Cup is a 5-round team rapidplay swiss event, open to teams whose players have an average grade less than 100.

The Wylie Cup is normally a 5-round team rapidplay swiss event, open to all.  However, this time it was done as a round-robin tournament.