Perceptual quality prediction for stereoscopic images is of fundamental importance in determining the level of quality perceived by humans in terms of the 3D viewing experience. However, the existing no-reference quality assessment (NR-IQA) framework has its limitation in addressing binocular combination for stereoscopic images. In this paper, we propose a new NR-IQA for stereoscopic images using joint sparse representation. We analyze the relationship between left and right quality predictors, and formulate stereoscopic quality prediction as a combination of feature-prior and feature-distribution. Based on this finding, we extract feature vector that handles different features to be interacted by joint sparse representation, and use support vector regression to characterize feature-prior. Meanwhile, we implement feature-distribution using sparsity regularization as the basis of weights for binocular combination to derive the overall quality score. Experimental results on five public 3D IQA databases demonstrate that in comparison with the existing methods, the devised algorithm achieves high consistent alignment with subjective assessment.