A scissor type magnetic sensor for magnetic data recording having a flux closure magnetic side shield structure. The magnetic sensor has a magnetic side shield structure that includes a non-magnetic layer within a magnetic material layer, with the non-magnetic layer being removed from the sensor stack so as to define upper and lower magnetic portions of the magnetic structure that are separated from one another at a region away from the sensor stack. The upper and lower magnetic portions are connected with one another in a region near the sensor stack so as to magnetic flux closure structure. The novel magnetic side shield structure provides net neutral magnetization that does not provide an inadvertent biasing to the magnetic free layers of the magnetic sensor.