Disclosed are a magnetic sensor chip and a magnetic sensor. The magnetic sensor chip comprises a magnetic sensitive film (2, 21), and in the longitudinal direction of the magnetic sensitive film (2, 21) are provided a number n of suppression units (4) capable of achieving the sectionalized suppression of a demagnetizing field, where the number n is an integer equal to or greater than 2. By means of the suppression units (4) arranged in the longitudinal direction of the magnetic sensitive film (2, 21), the magnetic sensitive film (2, 21) to achieve a suppression of a demagnetizing field, so as to reduce or even eliminate the hysteresis of the magnetic sensitive film (2, 21), thus improving the sensitivity of the magnetic sensor chip.