Talk to your boyfriend. Let him know what you plan to do. Introduce him to your parents when he is ready, it is him that is meeting the parents. Communication is key to all relationships, whether between the both of you or between you and your parents.
Introduce him to your siblings first. Sometimes if your siblings get along with him, they will put in a good word for you. If you have an older brother, talk to him about it. He is a guy and will most likely have insight to this, especially if he had to go through the ‘meet the parents’ phase with his girlfriend’s parents.
Talk to your parents. Try starting with your mom, she would be more sympathetic because she must have gone through the same thing when she was younger.
Suggest to your mom that she meet him before your father meets him. She might end up liking him. This way you have someone on your side.
Plan to have the meeting between your boyfriend and parents somewhere he is most likely to be comfortable with. A restaurant you both like is best unless he will be going over to your place. If he got along with your siblings, make sure he/she/they are there.
Prepare your boyfriend for when he does meet both your parents. Let him know your parents’ likes and dislikes. Let him dress up a bit, but make sure that it is not too much of a change from his usual style. Parents tend to be able to pick up on things like this. Besides, if he is going to be sticking around, your parents will notice his change of style