An all optical soliton diode (AOSD) is proposed based on a sandwich nonlinear Bragg-grating structure: a linearly chirped Bragg-grating linked to a uniform Bragg-grating and again to a chirped Bragg-grating. The nonreciprocity is achieved by introducing two spatially asymmetric chirped Bragg-gratings with optical nonlinearity. High transmission ratio up to 150 is obtained when launching a picosecond Gaussian pulse into the setting. We find that such pulses in a form of solitons propagate at a rather small velocity (< 0.03c) when pulse wavelength is selected in the vicinity of photonic bandgap. Optical diode, a nonreciprocal device that transmits light only in one direction and blocks that in the opposite direction, is a key enabler for optical information processing. To realize the optical diode, breaking the symmetry of wave propagation is necessary but it is still a challenge problem. Many schemes have been proposed to solve such a problem. Conventional methods were based on the Faraday effect in magneto-optical crystals [1], but such magneto-optical component hinders the applications in integrated photonic systems. Since then, the research on optical diodes became very intense, and many compact schemes were proposed, using opto-acoustic effect [12][13][14][15][16]. While majorities of these work concentrated on high nonreciprocal transmission ratio [7, 15], the shape of the optical field after propagating through the devices was neglected.In addition to those attempts, an important candidate for the generation of optical diodes is based on periodic grating structures due to their tunability and cascadability. Using the edge of photonic bandgap [17], as well as the consideration of optical nonlinearity, the optical diode was first put forward in a one-dimensional photonic material with spatial gradation in the refractive index. Later, an all-optical diode was demonstrated in a periodically LiNbO 3 channel waveguide using quasiphase matching [18]. Non-reciprocal transmission of circular polarized light at the photonic-bandgap regions based on electro-tunable liquid-crystal hetero-junctions was demonstrated experimentally and theoretically [19].Similarly to [19], we propose a sandwich structure based on nonlinear Bragg gratings: a linearly chirped Bragg-grating (CBG) [20] linked through a uniform * Electronic address: Corresponding author: yongyaoli@gmail.com Bragg-graitng (UBG), and again to a CBG. Using this setting, a hight-Q and slow-light all-optical soliton diode (AOSD) is achieved. It was demonstrated that, by introducing a CBG cascaded a UBG structure [21, 22], strong retardation of optical pulses, as well as the creation of standing stable pulses were realized. These pulses can preserve its shape while propagating along the gratings, as a results of the balance between optical induced nonlinearity and pulse dispersion, which can be termed as a BG soliton [23][24][25][26][27][28][29][30][31]. In our setting, it is possible to break the reciprocity by introducing such two spatially asymmetric CBG struct...