Hybrid stepper electrical machine which is linear along an axis of movement, comprising N phases (N being greater than or equal to 1), each phase comprising a first assembly and a second assembly which are movable relative to one another, the first assembly being a magnetic assembly, the first assembly or the second assembly comprising at least one coil (21, 28), each of said assemblies having toothing consisting of a number of teeth which are evenly distributed in a plurality of periods, characterized in that a. the first assembly consists of two magnetized portions, each comprising a magnet (22, 23, 29, 30) magnetically coupled to two toothed yokes (24a, 24b, 31a, 31b), the magnets being polarized in a direction perpendicular or parallel to the axis of movement and in an opposite direction to one another, the yokes being stacked along the direction of polarization of the magnets, one of the toothed yokes (24a, 31a) of one of said magnetized portions being magnetically coupled by a ferromagnetic component (25, 32) to one of said toothed yokes (24b, 31b) of the other magnetized portion, b. the second assembly comprises at least two toothed zones (20a, 20b, 27a, 27b), having pitches which are identical to the pitch of said toothed yokes (24a, 24b, 31a, 31b), said toothed zones (20a, 20b, 27a, 27b) being magnetically coupled by a ferromagnetic component (19, 26), c. the magnetized portions of the first assembly are opposite the toothed zones of the second assembly, the second assembly comprising said toothed zones (20a, 20b, 27a, 27b) and the first assembly comprising said toothed yokes (24a, 24b, 31a, 31b) which have at least two teeth in phase, and at least two teeth out of phase by a half-period in the direction of movement, the teeth of the toothed yokes (24a, 24b, 31a, 31 b) of the first assembly which are coupled to the same magnet (22, 23, 29, 30) are in phase or out of phase by a half-period, and the teeth of the second assembly are out of phase by a half-period or in phase in the direction of movement, respectively. a. the first assembly consists of two magnetized portions, each comprising a magnet (22, 23, 29, 30) magnetically coupled to two toothed yokes (24a, 24b, 31a, 31b), the magnets being polarized in a direction perpendicular or parallel to the axis of movement and in an opposite direction to one another, the yokes being stacked along the direction of polarization of the magnets, one of the toothed yokes (24a, 31a) of one of said magnetized portions being magnetically coupled by a ferromagnetic component (25, 32) to one of said toothed yokes (24b, 31b) of the other magnetized portion, b. the second assembly comprises at least two toothed zones (20a, 20b, 27a, 27b), having pitches which are identical to the pitch of said toothed yokes (24a, 24b, 31a, 31b), said toothed zones (20a, 20b, 27a, 27b) being magnetically coupled by a ferromagnetic component (19, 26), c. the magnetized portions of the first assembly are opposite the toothed zones of the second assembly, the second assembly comprising said toothed zones (20a, 20b, 27a, 27b) and the first assembly comprising said toothed yokes (24a, 24b, 31a, 31b) which have at least two teeth in phase, and at least two teeth out of phase by a half-period in the direction of movement, the teeth of the toothed yokes (24a, 24b, 31a, 31 b) of the first assembly which are coupled to the same magnet (22, 23, 29, 30) are in phase or out of phase by a half-period, and the teeth of the second assembly are out of phase by a half-period or in phase in the direction of movement, respectively.