How to ask the woman's parents for the household registration book by SMS?

Well, it depends on your purpose. If it's for marriage, it's hard to say that you want to use text messages. It is better to call, because it is also respect. Besides, people's household registration books can't say that they will give you a message if you send it. Who do you think you are? Ask people to do things, be sincere.

So, I think it's better to call than to send text messages.

Finally, I wish you an early dream come true.