How to active my iPhone 5 without SIM?

My SIM card reader on my iPhone 5 doesn't work, I only want to use it as an iPod. Is there anyway to active it without the SIM?

Nope, not possible.
In the past, you could hactivate the phone, which allowed you to skip that part, but that doesn't work on newer phones, from the 4S and higher.

You'll have to get the SIM card reader replaced, which isn't very easy.

You mean activate & no you can't. Of course the iPhone is a phone so SIM card activation is required. You'd have to get that fixed, & then you could do that, but with the expected expense to get that repaired just to get an iPhone to act as an iPod touch it would probably be better to just get an iPod touch.