A person owns and operates CCorp and llc partn. The CCorp was used to purchase a vehicle for the LLC since it has business credit. who gets the depreciation write-off?

Really a question for your CPA.

But I'd assume since the C Corp owns it, that's where the depreciation goes.  There's no Asset on the LLC's books to depreciate. 

Also....  If the LLC is paying the Loan off directly.  How are you showing a reduction in the Liability?  You might run that one by your CPA as well.

@ConNT 

Agreed with @Pete_Mc .  If it's on the C-corp's books, then certainly only it can book depreciation.  It gets tricky though because the C-corp is now incurring an expense unrelated to its operations, therefore, reducing its taxable income. And, if the LLC is paying down the loan for the C-corp, the C-corp will need to record income equal to the principal reduction.  There's no free lunch. 

IMO, the proper way to handle this is for the C-corp to service the debt and book the depreciation and have the LLC lease the truck from the C-corp.  That way, the LLC is recording expenses for the lease payments and repairs/maintenance and the C-corp is recording income to offset the depreciation, interest expense, and loan principal reduction.  This scenario clearly reflects income for both entities and that's what the IRS likes to see.