Temperature control unit, especially a vehicle temperature control unit, comprising: - at least one temperature control body, which is elongated in a longitudinal direction of the temperature control body, which is made of magnetocaloric material and through which or/and around which heat transfer medium can flow, - a magnetic field arrangement with magnetic field heating areas which are arranged following one another in a shifting direction and cooling areas between the magnetic field heating areas, wherein a plurality of heat transfer medium flow zones (Z i) following one another in the longitudinal direction of the temperature control body are provided with the temperature control body, characterized in that at least two heat transfer medium flow zones (Z i) adjacent to one another in the longitudinal direction of the temperature control body provide a heat transfer medium circulation sector (I, II, III, IV), wherein at least one heat transfer medium flow zone (Z i) provides a heat transfer medium circulation sector (I, II, III) together with a heat transfer medium flow zone (Z i) adjacent to this heat transfer medium flow zone (Z i) on a first side in the longitudinal direction of the temperature control body during a first phase of operation and provides a heat transfer medium circulation sector (I, II, III, IV) together with a heat transfer medium flow zone (Z i) adjacent to this heat transfer medium flow zone (Z i) on a second side in the longitudinal direction of the temperature control body during a second phase of operation, and in that heat introduction fluid can flow through or around a heat transfer medium flow zone (Z 1) arranged in one of two longitudinal end areas (26, 28) of the temperature control body for feeding heat into said heat transfer medium flow zone (Z 1), and in that heat discharge fluid can flow through or around a heat transfer medium flow zone (Z 8) arranged in the other of the two longitudinal end areas (26, 28) of the temperature control body for discharging heat from said heat transfer medium flow zone (Z 8), wherein in one type of phases of operation out of a first phase of operation and a second phase of operation, heat discharge fluid can flow through the at least one heat transfer medium flow zone (Z 8) through which heat discharge fluid can flow and heat input fluid can flow through the at least one heat transfer medium flow zone (Z 1) through which heat input fluid can flow, and that in the other type of phases of operation out of a first phase of operation and a second phase of operation, the heat transfer medium flow zone (Z 8) through which heat discharge fluid can flow together with a heat transfer medium flow zone (Z 7) adjacent to this [zone] in the longitudinal direction of the temperature control body provides a heat transfer medium circulation sector and the heat transfer medium flow zone (Z 1) through which heat input fluid can flow together with a heat transfer medium flow zone (Z 2) adjacent to this [zone] in the longitudinal direction of the temperature control body provides a heat transfer medium circulation sector. - at least one temperature control body, which is elongated in a longitudinal direction of the temperature control body, which is made of magnetocaloric material and through which or/and around which heat transfer medium can flow, - a magnetic field arrangement with magnetic field heating areas which are arranged following one another in a shifting direction and cooling areas between the magnetic field heating areas,