How to Keep Cats from Jumping Onto the Kitchen Counter. Part of the series: Cat Care. Cats can be discouraged from jumping onto the kitchen counter by applying clear doublesided tape to the edges of the counter or by creating attractive areas in other parts of the house. Avoid giving a cat any attention when it jumps on the counter with help from a professional pet behavior consultant in this free video on cats as pets. Read more: http://www.ehow.com/video_5361729_kee...