There are many reasons for eyes puffiness. Heart disease is one of these causes too. Usually puffiness of eyes is related to poor sleeping, less fat and elastic of skin due to aging and body fluidness. If related to some disease, normally it is related to kidney, liver and heart problems. If the puffiness is only apparent in the morning when you just get up, then relax, you are just witnessing how we sleep. Most of us have puffy eyes in the morning. If it is only a one day symptoms, you might drink too much water last night, yet if the puffy eyes that don't get less as the days go on could be the sign that you body is fluid, which could be a symptom of serious kidney, heart or liver disease. A bad reaction to a new medication can also cause puffy eyes. I suggest that you'd better have a detailed check especially if you also prone to puffy hands or ankles. Hope you could get well soon.