Contact your broker to get the appropriate forms to complete. The process will be simpler if the new owner also has or will have an account with the same broker, because no change in the actual registration of the shares will be necessary. The broker will simply make the transfer on its own internal books.
How to fill out the Stock Power Transfer Form Instructions and Details? Identify the recipient of the shares. Enter the number of shares to be transferred. Provide the stock certificate number. Sign the form as the current owner. Secure a signature guarantee if needed.