We kinda share it. My partner does all the bank stuff and big bills though - he's an accountant and a financial manager so I think that it's fair to say that finances are his strength! I deal with the day to day budgeting - making sure the groceries and incidental expenditure is all in reporting back on any adjustments needed for the budget. I used to do more of the planning etc, but since having 2 small children, plus a period of time where we were both unemployed (so didn't have any money to budget with!) I kind of got out of the habit.
My wife manages the money as she is excellent in dealing with bills, savings and getting good deals when buying things (from groceries to discounts on purchases).
I think most women are better than men when dealing with expenditure.