Drain pineapple, reserving 1/4 cup of the juice; set aside. In a large bowl combine cabbage, orange sections, shredded carrots and pineapple. Cover and chill.
In a screw top jar, combine reserved pineapple juice, honey, lemon juice and ginger; cover and shake well. Chill. Just before serving, shake dressing; pour over slaw. Toss to mix.