To invite someone to an event with the main purpose of getting back at someone else who you are feeling spiteful towards, rather than because you actually want them there.
Kevin: Do you want to be my date for Kitty's wedding?
Scotty: Oh, how appealing, a spite invite?
-- Brothers & Sisters, after Kevin finds out his boyfriend hasn't called him or left him any messages.
Example B: Your sibling pisses you off, so you go and invite their biggest enemy to your family party just to annoy your sibling. That would be a spite invite.