The effect of gradient and texture factors on the stereo masking effect is firstly studied with subjective experiments,and a binocular just-noticeable cod ing distortion (BJNCD) model is established. At the same time,it is noticed that the visual sensitivity of human visual syste m (HVS) is not constant,the relationship between the eccentricity and visual sensitivity shows that the lager the retinal eccentricity is,the larger the pixel visual threshold is.So we combine the perceptual characteristic of the retinal fovea of HVS and build a foveated binocular just-noticeable coding distortion (FBJNCD) model.In ord er to verify the effectiveness of the proposed FBJNCD mo del,it is applied to the multi view-high efficiency video coding (MV-HEVC) test platf orm for asymmetric coding of stereoscopic video.Experimental results show that the proposed model can significantly save rate of the bitstream and increase the compression efficiency of the stereoscopic video while preserving the subjective quality of the video.