Is this a new thing? Since he retired perhaps, or have you not been married to each other for very long?
My husband is an early bird, up at half-past four, which is the time I would be going to bed when I was younger unless I had to get up for work!
We have worked out a compromise, he gets up early, but accepts that I don't get up until 7 a.m. he takes at nap during the afternoon, I don't so we are both ready for bed at about 11.30 p.m.
If your husband has not always been like this, it is only reasonable if he tells you what the change is due to. Is he having difficulty adjusting to retirement, unemployment, or could he be worrying about something?
You say you have talked to him many times about this habit, does he listen to you? Is he willing to discuss it, or not?
Often in marriage it depends on how you talk about a problem. Here you need a compromise that suits you both.
No stranger can or should advise you as to whether you should leave him or not. That depends on so many factors.
If you are considering leaving, you need to ask yourself whether you still love him and can face living without him.
Then you need to consult citizens' advice, your bank manager and a solicitor, because you need to know exactly what kind of money you will have to build a new life with.
Whose name is your house in? Are you still working, what sort of benefits might you be entitled to as a single woman?
If you do decide to leave, are you going to tell your husband that you are leaving, or ask him to consider changing so you want to stay?
You can air all these problems here, but only you can know what you really want to do.