A magnetic scissor type magnetic read head having magnetic side shielding for reduced effective track width and having side biasing for improved stability. The read head includes first and magnetic side shields that each include first and second magnetic layers and an anti-parallel exchange coupling layer sandwiched there-between. The magnetic layers of the side shields are anti-parallel coupled with one another such that one of the magnetic layers has its magnetization oriented in a first direction parallel with the air bearing surface and the second magnetic layer has its magnetization oriented in a second direction that is opposite to the first direction and also parallel with the air bearing surface. These magnetizations of the first and second magnetic layers provide a bias field that stabilizes the magnetization of the free magnetic layers of the sensor stack to prevent flipping of the magnetizations of these layers.