The World Health Organization (WHO) estimates that 285 million people are visually impaired worldwide, with 39 million blinds. Glaucoma, Cataract, Age-related macular degeneration, Diabetic retinopathy are among the leading retinal diseases. Thus, there is an active effort to create and develop methods to automate screening of retinal diseases. Many Computer Aided Diagnosis (CAD) systems for ocular diseases have been developed and are widely used. Deep learning (DL) has shown its capabilities in field of public health including ophthalmology. In retinal disease diagnosis, the approach based upon DL and convolutional neural networks (CNNs) is used to locate, identify, quantify pathological features. The performance of this approach keeps growing. This chapter, addresses an overview of the used methods based upon DL and CNNs in detection of retinal abnormalities related to the most severe ocular diseases in retinal images, where network architectures, post/preprocessing and evaluation experiments are detailed. We also present some related work concerning the Deep Learning-based Smartphone applications for earlier screening and diagnosisof retinal diseases.