Photo Credit botamochi/iStock/Getty Images. 1  The antioxidants and other compounds found in fruits and vegetables help protect your heart's health, according to a study published in the medical journal Platelets in 2004. Avocados and kiwi are two fruits in particular that have been found to lower triglyceride levels. Triglycerides are fats that are stored when you don't burn as many calories as you consume. In addition to eating more fruits and vegetables, burning more calories by exercising will also lower your triglyceride levels.