Cut back growing primocanes to a height of 48 inches in June or July. This process is called "tipping back." Cut the canes just above a point where a side-shoot sprouts from the cane.
Tip back lateral shoots to 18 inches long in early spring of the following year. This will help the primocanes avoid winter injury.
Cut floricanes down to the ground just above their crowns with branch loppers once their fruit-bearing season is over. Chester thornless blackberries produce fruit in late summer, so pruning will occur in early fall.