Right handers usually hold the hook in their right hand, either in

 

a. the Pencil Hold

 

b. the Knife hold

 

c. the Chopstick hold

 

The left hand holds the work and at the same time controls the yarn supply

The left hand index finger manipulates the yarn, while the middle finger holds the work.

 

 

The yarn is put over the first three fingers and under the last.  To maintain the slight tension needed it might help to wind the yarn around the little finger.