Does you lease give them an ongoing right to this information? It would be an unusual lease term, but if it is there, they most likely do have a right to keep requesting it. If it is not a right that is granted to them in the lease, then they have no legal basis to demand it. You could start by asking them on what authority they are demanding the information. Just keep this in mind, even if they have no right to dmeand it, and even if they cannot evict you over it right now, you have no right to a renewal of your lease (unless your lease includes a renewal provision). That means that while you might not have to give them the information now, if you refuse and that irritates them enough, they will not renew your lease when it is up. Of course you might want to move anyway if they are that difficult to deal with.