The show is to begin its limited run Feb. 12 at Broadway's Broadhurst Theatre with an official opening night planned for March 6.
"I am thrilled to stand at the helm of this unique production as we navigate our way through Tennessee Williams' riveting and explosive American classic. 'Cat,' said to be his favorite of his many plays, achieves a timeless coherence with its characters as they wrestle with the universal struggles of life, love, money, sex and death," Allen said in a statement.
Casting will be announced soon, representatives for the show said.
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