Disney often has ticket deals on their website tied to resort reservations, like discounted multi-day tickets for specific dates at on-property hotels.
However, deals may only be available during a short window, so it is not ideal for long-term planning. There are usually no specials around holidays like Christmas or New Year's.
Keep an eye on their website, especially during the slow season, during months like January or September. Sometimes, you can even save specifically on tickets for kids.
Use credit card reward points to purchase gift cards. If you can't get Disney gift cards, other brands, like Starbucks, accept gift cards at Disney resorts.
Some places that always have discount Disney gift cards for a range of prices include Target, Costco, and Sam's Club. Be wary of gift card reselling through social media.
Driving through Kissimmee or Orlando, you'll notice little shops with signs for discount Disney tickets, but you'll probably be required to attend a lengthy timeshare presentation.
Disney Annual Passes are a significant investment, but if you plan on visiting the parks once a year for at least a week, going with an Annual Pass is worthwhile.