The phrase "soft padding" refers to a cushioning material or layer that is gentle, comfortable, and provides a soft surface to rest on or protect from impact. Full definition
The tube top takes straight cut shape with soft padded cups for a flattering and charming style. (zaful.com)
Our leather - lined models had nice soft padding on the center console for elbows and on the doors, making it quite a nice place to spend time. (autoweek.com)
The shoulder and waist straps are equipped with soft pads in the sensitive areas. (kiddyusa.com)