More details for the insurance paying for damages done by ex?
He is not on the house, only my name is on the house and my name is on the insurance.
Then it's vandalism - as long as you file a police report and press charges, they should pay (assuming you don't have a vandalism exclusion on your homeowners policy - or weird coverage form).
Even though his name is not on the insurance policy, he may still be considered an "insured" if he was a member of your family and residing in the household. In that case, intentional damage he does to the dwelling & contents would be excluded from coverage. If you were still legally married at the time he trashed the house, you will be out of luck with getting the HO insurance to cover it.
Answers:
Still he was an occupant of the house.
Say if you had kids...they aren't listed on the homeowners policy/dec page...same situation.
If you have homeowners' insurance, you have coverage for vandalism damage. The only thing that might be excluded is if your ex damaged something that he owned. In that case you did not sustain a loss, and insurance won't cover intentional damage, if he qualifies as an insured.
Insurance will pay