It appears that some people say their marriage vows without giving a second thought about what the words actually mean.
I you don't know what your DH earns, how do you know what you can afford to buy? Does the amount of money he gives you allow you to spend freely, or are you needing to penny pinch?
Does the family have any savings? What would happen if he lost is job?
It would be a shame if you had both been spending every penny that he has earnt to then suffer a drop in income and end up struggling and wish that you had put something by in the good times. And it would be equally a shame if you had been scrimping and saving and living on value beans only to find that he has massive savings in the bank.
What are your pension arrangements? Do you pay for major house repairs, buy a new car or go on holiday without borrowing?
You say 'all bills are paid' but do you know that this is true? How does your lifestyle fit with your household income?
Without knowing what your DH earns, there are just too many unknowns and you could end up finding out that, for example, he earns a lot less than you thought and he maintains your lifestyle by getting into huge debt and it will all fall down around you one day?
Or he could die or leave you and you could be destitute. If all the money is in his name, you wouldn't be able to access it.
Can you save any money out of the money he gives you for a rainy day? Does he expect you to account for what you spend?
A post full of questions that just illustrates why the situation you are in is not on.