The invention discloses a magnetic nano-multilayers structure and the method for making it. The multilayer film includes—sequentially from one end to the other end—a substrate, a bottom layer, a magnetic reference layer, a space layer, a magnetic detecting layer and a cap layer. The, up-stated structure is for convert the information of the rotation of the magnetic moment of the magnetic detecting layer into electrical signals. The magnetic detecting layer is of a pinning structure to react to the magnetic field under detection. On the other hand, the invention sandwiches an intervening layer between the AFM and the FM to mitigate the pinning effect from the exchange bias. Moreover, the thickness of the intervening layer is adjustable to control the pinning effect from the exchange bias. The controllability ensures that the magnetic moments of the magnetic reference layer and the magnetic detecting layer remain at right angles to each other when the external field is zero. The invention achieves a GMR or TMR magnetic sensor exhibiting a linear response and by tuning the thickness of the non-magnetic metallic layer, the sensitivity as well as the detecting range of the devices can be tuned easily.