Prepare the fruit by removing the tops from the strawberries, cutting the cantaloupe and pineapple into bite-sized cubes, and peeling and slicing the kiwi into thick slices.
Gently thread the fruit onto the skewers in this order: grape, blackberry, kiwi, pineapple, cantaloupe, and strawberry.
Arrange the fruit kabobs on a platter and serve immediately, or cover and refrigerate until ready to serve.