Light guide for a motor vehicle lighting device , the light guide being flat and being delimited by a first wide light guide surface and a second wide light guide surface opposite thereto, and a parallelization portion , a deflection portion adjoining in the beam path and an outcoupling portion adjoining said deflection portion, the parallelization portion having a light introduction region and being designed to parallelize the light fed in through the light introduction region , the outcoupling portion having a narrow light outcoupling surface extending between the wide light guide surfaces , and the deflection portion having a deflection surface which is formed on a narrow side surface extending from the parallelization portion to the outcoupling portion and being configured to deflect the light coming from the parallelization portion to the outcoupling portion , the deflection surface comprising a plurality of reflection surfaces for reflecting light beams to the outcoupling portion , and a plurality of offset surfaces , between each two reflection surfaces at least one offset surface being arranged such that the reflection surfaces are arranged so as to be offset in a step-like manner along the course of the deflection surface from the parallelization portion to the outcoupling portion , the first wide light guide surface and the second wide light guide surface being curved in the region of the deflection portion such that the stepped deflection surface extends along a deflection guide curve which is curved with respect to two different spatial directions, characterized in that the light introduction region is plate-like and in each case is curved in the cross sections so as to be perpendicular to and in parallel with the beam path and blends continuously into a plate-like and planar light guide region of the parallelization portion such that a light bundle which initially extends divergently in the light introduction region is formed into a parallelized light bundle which extends in the planar light guide region . and a parallelization portion , a deflection portion adjoining in the beam path and an outcoupling portion adjoining said deflection portion, the parallelization portion having a light introduction region and being designed to parallelize the light fed in through the light introduction region , the outcoupling portion having a narrow light outcoupling surface extending between the wide light guide surfaces , and the deflection portion having a deflection surface which is formed on a narrow side surface extending from the parallelization portion to the outcoupling portion and being configured to deflect the light coming from the parallelization portion to the outcoupling portion , the deflection surface comprising a plurality of reflection surfaces for reflecting light beams to the outcoupling portion , and a plurality of offset surfaces , between each two reflection surfaces at least one offset surface being arranged such that the reflection surfaces are arranged so as to be offset in a step-like manner along the course of the deflection surface from the parallelization portion to the outcoupling portion , the first wide light guide surface and the second wide light guide surface being curved in the region of the deflection portion such that the stepped deflection surface extends along a deflection guide curve which is curved with respect to two different spatial directions, characterized in that the light introduction region is plate-like and in each case is curved in the cross sections so as to be perpendicular to and in parallel with the beam path and blends continuously into a plate-like and planar light guide region of the parallelization portion such that a light bundle which initially extends divergently in the light introduction region is formed into a parallelized light bundle which extends in the planar light guide region . <EOS>