Face the hole with the ball on the right side of your body. Use your left hand to grip the putter near its top. Place your right hand lower down the putter shaft, palm facing the hole. Bend forward, angling the putter to the right, across the front of your body. This is known as a sidesaddle grip.
If changing grips doesn't help, you may want to try a new putter. A longer putter will allow you to putt using more of your arms and shoulders and less of your hands and wrists. And some putters are designed with a special grip to help stabilize the hands and wrists.