How to Stop Dogs From Jumping Up on Counter Tops. Part of the series: Dog Training Information. To stop a dog from jumping up on counter tops, either keep the dog out of the kitchen altogether or reinforce a good "leaveit" and "down" command. Prevent the opportunity for dogs to retrieve items on the table or counter top with tips from an experienced pet trainer in this free video on dog training and behavior. Read more: http://www.ehow.com/video_5238551_sto...