Human Eyes are one of the important organs of the humanbody.They are also very prone to diseases such as cataracts, AgeRelated Macular Degeneration, Diabetic Retinopathy, Glaucoma, etc.Therefore, it becomes important to develop methods that can helpin the diagnosis and treatment of these diseases before it is toolate. In this paper, a time-efficient and accurate deep learningbased bio-medical image segmentation approach is presented whichcan lay the foundation for further development in this area.The u-net deep learning model used in the proposed approach, was specially developed to deal with medical images. The proposed approachhas been split into three notable phases: data pre-processing, training U-net deep learning model, and data post-processing. The U-netmodel is fed this data and trained until satisfactory results. Duringpost-processing, corresponding predicted images are merged to obtain toprediction for the original images. The final step includes the removalof padding so that the original dimensions of images are maintained After a long period of experimentation, quantitative performance metrics have been respectively calculated as 0.963, 0.992,0.910 for the DRIVE data set and 0.958,0.993,0.888 for theSTARE data set respectively. Values of Loss have been 0.106,and 0.106 for the DRIVE and STARE data sets respectively.