Hi Evelyn!
Thank you for visiting the Moms Panel!
Yes you can pay for your Fantasmic Dinner Package with your
Disney Dining Plan. Depending on which restaurant you choose,
The Hollywood Brown Derby requires two Table Service Meals per person, and
Mama Melrose's Ristorante Italiano and
Hollywood & Vine require one Table Service Meals per person.
The Disney Dining Plan includes one (1) Quick-Service Meal, one (1) Snack, and one (1) Table-Service Meal per person, per night of your package stay for everyone in the party ages 3 and over. The plan also includes one (1) Resort refillable drink mug per person, that is valid for the length of your stay (eligible for refills at Quick-Service locations only in your Disney Resort hotel). For clarity, one Table-Service Meal for dinner entitles you to one entree, one dessert and one non-alcoholic beverage OR one full buffet, per person.
Full full details of all the Disney Dining Plans, see
here.
If you have any other questions, please come back and ask me - I would be happy to help you plan your magical vacation!