Profits in the first three months of the year were $2.4bn. But the media giant's revenue gains more muted, up 3% year-on-year to at $13.3bn (Â£10.3bn).
The firm remains on track for modest growth, in spite of subscriber losses at its sports television network ESPN.
"We're extremely pleased with our results," said Disney boss Robert Iger.
Disney's business ranges widely, including movie studios such as Marvel and Pixar, theme parks, merchandise - even a cruise line.
Its television networks, which include ABC, Disney and the sports-focused ESPN, are the biggest earners, together accounting for more than 40% of the firm's total revenue in the last financial year.
However, ESPN has struggled with millions of subscriber losses and advertising declines in recent years, as live sports services have begun to feel the pressure from online television and viewer demands for cheaper cable packages.
This spring, ESPN laid off more than 100 people, including writers and on-air personalities.
Mr Iger said the company is confident of the demand for ESPN and pleased with the traction it is gaining on platforms such as television streaming service Hulu.
Revenue in the media unit increased 3% year-on year.
Mr Iger said the firm is focused on its mobile audience, aiming for an increasingly customised experience that allows fans to focus on news about their favourite teams.
The company plans to sell ESPN-branded streaming directly to viewers by the end of the calendar year, and that kind of personalisation is also likely to be part of the package, he added.
"Consumers will be able to buy the sports they want, when they want," he said.
Mr Iger asked analysts for "a little bit of credit" for being candid with its thinking as it grapples with the changes.
"We wanted to signal that we had our eyes wide open about what was going on," he said.
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Revenue at Disney's studio operations declined 1% year-on-year, as strong audiences at Beauty and the Beast couldn't match the firm's success last year with films such as Zootopia and Star Wars: The Force Awakens.
Strong visitor numbers at Disney theme parks and its new Shanghai resort in China helped lift the results, Mr Iger said.  The park is on track to welcome its 10 millionth guest as it nears its first anniversary, he said.
"Attendance is outpacing our most optimistic projections," he said.

Dr George Daniels, who died in 2011, was responsible for some of the field's most important advancements which he passed to his apprentice Roger Smith.
A film will focus on their relationship and how the work developed the art of British watchmaking.
It will be played at the George Daniels lecture at City University.
In a career spanning 60 years, Sunderland-born horologist Daniels perfected the 32 skills needed to make a watch from scratch by hand.
The most successful of his inventions, the co-axial escapement, won him international acclaim and is regarded by experts as one of the most significant horological developments in 250 years.
Mr Smith, who followed Mr Daniels to work in the Isle of Man, said he was an "inspirational mentor."
"He was the first person in history to hand make a watch with a great technical level and extraordinary beauty from start to finish."
City's George Daniels Professor of Scientific Instrumentation, Professor Ken Grattan, said: "Roger has risen from being an outstanding apprentice of the legendary George Daniels to being the legatee and torchbearer for his watchmaking excellence."
Daniels' attended City University London's predecessor, the Northampton Institute, and believed his outstanding success as a horologist was linked directly to his time as a student.
His educational trust set up following the sale of his personal collection of clocks has helped 20 students through doctoral studentships and undergraduate scholarships at the university.
Profits at Walt Disney jumped 11% in the first three months of 2017, bolstered by attendance at its theme parks and resorts.
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Leading watchmakers have gathered in London to celebrate the "unique collaboration" between two leading horologists from the Isle of Man.