It depends on your circumstances. If you are placing the moving container on your property, you may not require any permits. Check with housing associations in your neighborhood to double check.
Those who live in apartments, or may need to park the moving van on the side of the road for a few days, should check local laws to ensure they are obtaining the relevant permits or approvals.
The last thing you want is someone coming to tow your moving van, which is why you should arrange any permits in advance of its arrival.