Instructions. Lift your receiver and wait until you hear your dial tone. Press *60. Follow the voice prompts to add the first phone number you want blocked. Include the area code and seven-digit number even if you are adding a local phone number.Listen for confirmation that the number has been successfully added and move on to the next phone number until all the numbers you want blocked are entered.ou must know the phone numbers that you want to block ahead of time. Once you have determined the numbers to be blocked, Comcast will automatically relay a message saying you are not presently accepting calls for up to 12 numbers total.