As you likely know (and as I’ve been discussing for years), omega-3 fatty acids have anti-inflammatory properties. They have been studied for the treatment and prevention of many diseases, several of which are related to inflammation, including heart disease, stroke, cancer, and Alzheimer’s disease. They have also been shown to be extraordinarily helpful in preventing and treating other brain conditions such as depression and other psychiatric disorders, attention deficit/hyperactivity disorder (ADHD), and concussions.
In general, most health organizations agree 250–500 milligrams of EPA and DHA combined each day is a reasonable amount to support healthy individuals. However, people with heart problems (or those with a high risk of heart disease), depression, anxiety and cancer (and possibly more conditions) may benefit from higher doses — up to 4,000 milligrams per day for some heart-related conditions. (5)
Haberka, M., Mizia-Stec, K., Mizia, M., Janowska, J., Gieszczyk, K., Chmiel, A., Zahorska-Markiewicz, B., and Gasior, Z. N-3 polyunsaturated fatty acids early supplementation improves ultrasound indices of endothelial function, but not through NO inhibitors in patients with acute myocardial infarction: N-3 PUFA supplementation in acute myocardial infarction. Clin.Nutr. 2011;30(1):79-85. View abstract.
Fish oil has the ability to treat Attention Deficit Hyperactivity Disorder (ADHD) due to its high concentration of fatty acids. For children suffering from hyperactivity, dyslexia, dyspraxia, inability to complete tasks, emotional instability, wavering attitude, poor coordination, short attention span, short-term memory weakness, low concentration, tendency to interrupt others, recklessness, hastiness, impetuosity, impulsiveness, low IQ, or learning disorders, fish oil is a proven remedy. Research conducted at the University of South Australia and CSIRO has shown that when children suffering from ADHD were given doses of fish oil and evening primrose capsules for 15 weeks, they showed significant improvements in their behavior. Since, human brain consists of about 60% fats, especially essential fatty acids such as omega-3 and omega-6, it helps to improve the functions of the brain.
They also found that taking more long-chain omega 3 fats (including EPA and DHA), primarily through supplements probably makes little or no difference to risk of cardiovascular events, coronary heart deaths, coronary heart disease events, stroke or heart irregularities. Long-chain omega 3 fats probably did reduce some blood fats, triglycerides and HDL cholesterol. Reducing triglycerides is likely to be protective of heart diseases, but reducing HDL has the opposite effect. The researchers collected information on harms from the studies, but information on bleeding and blood clots was very limited. 
High triglycerides. Most research shows that fish oil from supplements and food sources can reduce triglyceride levels. The effects of fish oil appear to be the greatest in people who have very high triglyceride levels. Also the amount of fish oil consumed seems to directly affect how much triglyceride levels are reduced. Some fish oil supplements including Lovaza, Omtryg, and Epanova have been approved by the FDA to lower triglycerides.