What is the best medicine to cure a high blood pressure?

There is no cure: Blood pressure can be controlled. If you are overweight then weight loss to your ideal weight may "cure" the blood pressure problem but only if you maintain your ideal weight.

Multiple options : Cure and treat are not the same time. There are many good treatment options to control your blood pressure. Curing high blood pressure is different. Weight loss, exercise, low sodium diet, and NSAID avoidance all together can help lower blood pressure significantly and delay the need for medications sometimes for many years. Good luck.

The "best" depends: There is no one best medicine for everyone. Your doctor will consider the most likely causes based on your specific conditions. Sometimes low doses of several medications are prescribed to reduce pressure while minimizing medication side effects. The benefit of light-to-moderate exercise is very real. If you are healthy enough to exercise, but are sedentary, start walking, bicycling, or swimming.