Could you move him out of the room where you sleep? My Bam woke me up in the middle of the night when he was new with me, and I got out of bed and gave him treats. That reinforced the behavior – of course. I moved his cage (he was in a cage then) out into the hallway.
As Azerane says, this is in part a young rabbit thing. He wants action. Humans generate action. If you wake your human and elicit a response from her (any response, really – it doesn’t even have to be a pleasant response), you’ve succeeded. Disciplining him won’t discourage him- it wouldn’t even discourage a puppy dog since what he wants is a reaction from you.
It is very difficult to discipline a rabbit. They don’t respond well, as a rule you just make them connect bad things with your person. That’s of course counter-productive.
If you’ve access to untreated apple- or willow trees, you can give him apple twigs or willow twigs to chew at night. Even smaller branches are good. They like to eat the leaves and the bark and it takes time. I assume he has hay 24/7, so he’s not waking you because he’s starving.