A scissor type magnetic sensor having a soft magnetic side shields for improved sensor stability. The soft magnetic side shield structure extends from the side of the sensor and although being constructed of a low coercivity soft magnetic material it has a shape the causes the magnetization of the side shield layer to remain oriented in a desired direction parallel to the media facing surface. The side shields include first and second magnetic layers with an antiparallel coupling layer sandwiched between them. Each of the magnetic layers of the side shield structure has a width measured perpendicular to the media facing surface and a thickness measured perpendicular to the width and parallel with the media facing surface, both the width and the thickness being less than 10 times an intrinsic exchange length of the magnetic layer.