Image copyright Disney Enterprises, Inc.
The Guardian's Peter Bradshaw gave the film one star, calling it "pointlessly complicated and drawn out".
In his two-star review, The Daily Telegraph's Robbie Collin said it "has to be counted as a failure".
The live-action/CGI film stars Danny DeVito, Colin Farrell, Michael Keaton and Eva Green.
Thandie Newton's daughter Nico Parker makes her film debut as the daughter of Farrell's former circus star, taking a shine to the big-eared baby elephant. Image copyright Disney Enterprises, Inc Image caption Holt Farrier (Colin Farrell) and children Milly (Nico Parker) and Joe (Finley Hobbins)
Director Burton is known for fantastical films like Edward Scissorhands and Sleepy Hollow, and for reimagining Batman, Charlie and the Chocolate Factory and Alice in Wonderland.
The Hollywood Reporter's David Rooney declared his new version of Dumbo a "frustratingly uneven picture" that "holds the attention but too seldom tugs at the heartstrings".'Dark whimsy'
Variety's Owen Gleiberman said it "transforms a miraculous tale into a routine story by weighing it down with a lot of nuts and bolts it didn't need".
Other critics found it more endearing. Empire's Ben Travis awarded it four stars, calling it "an enchanting blend of Disney twinkle and Tim Burton's dark whimsy". Image copyright Jay Maidment/Disney Enterprises, Inc. Image caption Circus owner Max Medici is played by Danny DeVito
However, Peter Bradshaw's Guardian review called it "a flightless pachyderm of a film that saddles itself with 21st Century shame at the idea of circus animals".
While admitting there were some moments where Dumbo "teeters on the verge of flight", those moments were "cancelled out by boredom, as the pointlessly complicated and drawn out story grinds on to its tiresome conclusion".'Fails to jerk tears'
In the Telegraph, Robbie Collin wrote that, while the elephant "looks great", the "remake never gets off the ground".
Collin noted that the 2019 version is twice as long as the original and is filled with "modish new themes to fill the time, including animal cruelty, makeshift families and corporate exploitation of artists".
He concluded: "A Dumbo remake that fails to jerk tears has to be counted as a failure." Image copyright Jay Maidment/Disney Enterprises, Inc. Image caption Eva Green stars as Colette Marchant
The Daily Mirror's Chris Hunneysett gave the film three stars, writing: "For a film set in the circus, it lacks the toothy grandstanding pizzazz which Hugh Jackman brought to his smash, The Greatest Showman...
"This Dumbo story does occasionally fly - but only just."'Looks glorious'
Jamie East's three-star review for The Sun said the remake "has all the darkness we expect from a Disney film", such as death, abuse and bigotry. But he said it lacked heart.
"It's as if Tim Burton kept forgetting to be Tim Burton and felt like he should be making The Greatest Showman 2," he wrote.
"Having said that - It looks utterly glorious. The animals are perfectly rendered and the Art-Deco universe is splendorous."
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