Earlier this week, the chain announced that it would not be screening the movie because of a row with producers Disney about plans to shorten the theatrical run and fast-track the DVD release.
However, following negotiations between the two companies, Odeon has performed a U-turn and will now show the film from March 5.
In a statement, the company said: "Odeon and UCI Cinema group is pleased to announce that following detailed negotiations with the Walt Disney Company Ltd an enduring agreement has been reached encompassing all the different aspects of both companies' commercial relationship.
"Odeon is pleased to announce that it will now be showing Alice in Wonderland beginning March 5 in its cinemas in the UK, Ireland, Italy, Germany, Portugal and Austria.
"As a result of this agreement, Odeon is pleased to confirm that it will be able to continue with its plans for significant investment in new cinemas, in digital technology in 3D capability and the other exciting developments designed for the increased enjoyment of all its customers."
Alice In Wonderland, which stars Johnny Depp, Helena Bonham Carter and Anne Hathaway, opens nationwide next week.