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In ophthalmology, color fundus photography is an economic and effective tool for early-stage ocular disease screening. Since the left and right eyes are highly correlated, we utilize paired color fundus photographs for our task of automated multi-label ocular disease detection. We propose a Dense Correlation Network (DCNet) to exploit the dense spatial correlations between the paired CFPs. Specifically, DCNet is composed of a backbone Convolutional Neural Network (CNN), a Spatial Correlation Module (SCM), and a classifier. The SCM can capture the dense correlations between the features extracted from the paired CFPs in a pixel-wise manner, and fuse the relevant feature representations. Experiments on a public dataset show that our proposed DCNet can achieve better performance compared to the respective baselines regardless of the backbone CNN architectures.