A magnetic head slider assembly is provided, in which a flying height of the head slider is not changed when a peripheral speed and a yaw angle of the magnetic head slider assembly with respect to a magnetic disk are changed according to the change of a magnetic head slider radial position, so that a difference between flying heights in floating profiles become minimum. The magnetic head slider is provided with two stepped surfaces via a difference portion with respect to a contact surface of an inflow pad or an outflow pad of the magnetic head slider (1), wherein a ratio &dgr;s/&dgr;r between a depth &dgr;s of the first stepped surface and a depth &dgr;r of the second stepped surface with respect to the contact surface and a ratio xp/L between a length L of the slider in an air stream inflow direction and a distance xp between an air stream inflow end and a dimple position of the slider are respectively set in a range 0.047≦&dgr;s/&dgr;r≦0.364 and 0.002≦xp/L≦0.4, or a range 0.008≦&dgr;s/&dgr;r≦0.025 and 0.55≦xp/L.