Try this next time you have a chance to work on your putting. Close your eye closest to the target and hit some putts. This will be your left eye if you are a right handed golfer. Think of yourself as a 'Sharp Shooter' - looking down the barrel of a rifle. By doing so, you will force your right eye to become 100% dominate and because it is behind the ball, it will be looking more down the line of your putt. As you look at the hole, your line of sight will naturally stay on the proper line as your chin tilts slightly to the left. (Reverse the process for lefties) This will help you aim more efficiently and - in turn - hole more putts.
Also, don't forget to pay attention to your grip pressure. Putting well does not require much strength, so instead, focus on generating a smooth controlled delivery with soft hands and forearms leading the way.
J.Eccleston