"without the permission" is a correct and usable phrase in written English.
For example, you can use it in a sentence such as: "I was unable to enter the building without the permission of the owner."
These logos cannot be used without the permission of the UN and its agencies.
No one enters Carrington without the permission of Sir Alex.
"Without the permission of their husbands, many won't do it.
Married women could not exercise control over their own children without the permission of their husbands.
Secession movements, though, do sometimes proceed without the permission of the mother country.
The troll moved in without the permission of bridge authorities 22 years ago.
After all, force was projected across borders and without the permission of the host government.
Ordination could not occur without the permission of the aspirant's parents.
How naughty to have flown so far without the permission of Papa.
"But you cannot negotiate without the permission of the family and the government.
The exhibition should not proceed without the permission of the owners of all of the items".
